OK, here it is. I would really like to have your critique and find out whether it is possible to solve in under 1 minute using this method. Sorry if the piece below is too wordy. It's written for beginners, and by a very new beginner. Also sorry, as all the formatting has been lost after cutting and pasting. I have tried to put some bolded text back below.
Your comments, suggestions and criticisms will be greatly appreciated. Please understand that this is still a basic method. It started life as just notes for myself, until they get too unwieldy and someone else also wanted to learn. The exercise has been very helpful for my own learning.
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Dan's Beginner Method (DBM) 
Last updated - July 4, 2021
INTRODUCTION
I first solved the Rubik's cube 2 months ago, using the most basic Beginner Layer-By-Layer (LBL) method. After grasping the basics, I have now started learning the 4LLL, the logical next step, but it seems a fairly high hurdle requiring a lot of time and practise. So I hesitated, as I want to be sure I am on the right path. I am at the crossroads, since I am also looking into the Roux method, an alternative to the CFOP method that the LBL and 4LLL are based on, before investing in what would be an enormous amount of time and more importantly developing habits that may take time to correct later if things do not work well with the chosen method.
As I continue exploring the methods, I decided to standardise and enhance the Beginner method I have been using, as it has become tedious, especially the part that requires twisting the corners repeatedly using an algorithm so over-used that it is not so sexy now. I thought there should be a more gradual path forward and it would be nice to have a slightly more advanced but also more enjoyable beginner method before 4LLL. And this is the result. I built my own customised Beginner method! - Dan
IMPORTANT
This description assumes you have basic cube knowledge and already know the basic Beginner Layer-By-Layer (LBL) method. It is written for beginners by a beginner. So, please excuse me if the explanations too detailed or superfluous. The customised, changed or non-standard parts are highlighted below in purple and underlined. Experienced cubers can just watch these parts. Tips that are not essential for solving but can be very helpful to speed up the solve are highlighted in blue. Unless otherwise stated, the standard LBL steps are used and there should be plenty of excellent material online if needed.
3+1 LLL?
The main difference between this method, which will be referred to as just DBM from now on, from other LBL beginner methods is that it orientates the corner pieces of the last layer earlier, during the OLL stage (and not PLL), to cut down the number of later cases and algorithms. So it is a like 3+1LLL (3+1 Look Last Layer) method. DBM is easier because it is more intuitive. It also avoids the harder to remember algorithms and it always finishes the solve using an algorithm with the M-Move (the fun bit).
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Instructions for Dan's Beginner Method (DGM)
FIRST LAYER
Step 1 - Making a White Cross
I skip the yellow-centre daisy but still make my white cross holding it up. There's less chance of bad errors for beginners this way. Another reason for this decision is to allow use of an algorithm called Sune (R U R' U R U2 R') as a tool for fixing problems or mistakes made in matching up colours of the cross with the sides.
I also use Sune during times when I feel lazy or when I am not sure how to get the cross made efficiently and to avoid losing time when stuck, I would make the cross the simplest or most obvious way, i.e. without matching the colours on the sides. Sune can match up colours of the cross with those on the sides of the cube. See next step.
Step 2 - Matching Side Colours of the Cross (if necessary)
Choose either Sune or its left hand version (called Left Sune from now on) to do this by checking the colours of the edge pieces on the right and left sides. This can be very quick after enough practice and familiarisation. Always check and then use the algorithm when you have a side already matched facing you. Right Sune will result in the top edges pieces, except the one in front, rotating clockwise. And vice versa. If you see that that the left or right side are also colours matched already, then spin the cube to the left until you find a side that is not matched up, then do a U (to match up the colour in front) before Sune, thus:
⦁ U (R U R' U R U2 R')
TIP. Using the left hand for the U2 in the two algorithms above should make the turning easier.
After this, turn the cube up towards up slightly to check the back to see if it's also matched, If so, continue turning the cube till it is “up side down” and the white cross is facing down, ready for the next step. Occasionally, the back side is still not match up after Sune, then you will have to repeat what's done before, i.e. Spinning the cube to the left until you find an unmatched side and then again do a U and then Sune. That happens if the front and back are already matched before you start Sune.
TIP. If you have been more careful and noticed it (front and back have colours matched up already) before doing the Sune, here is a fun way to match all colours without using Sune at all :
⦁ M2 U2 M2
Step 3 - Solving the Rest of the First Layer
Turn the cube down so the White cross is facing down, if not done already, and put the corner pieces in one by one. Find a corner piece with White corner from the top layer and turn the top layer to position above where it needs to go. Use either the Right or Left hand version of the algorithm (R U R' U'). Refer to online material for instructions for this step.
TIP. This is not necessary, but will be nice if you want to make the solve smoother and faster. When the white coloured corner piece is correctly aligned on top of where it should go, and if the White colour is facing you, then you can avoid rotating the whole cube to the side to do (R U R' U') or its left hand version, by using the algorithm below instead. It's very easy, just remember to relax the fingers for this and try not to push the thumb forward when doing F' or F. Push up, not forward. This change also avoids over-doing the R U R' U' algorithm during a solve to make it more interesting. Learning this will also help to make it more efficient when fixing the Second Layer.
⦁ F' U' F (when the white colour is on the right), or
⦁ F U' F' (when the white colour is on the left)
For corner pieces with White facing up, use the most convenient move out of these - (R U2 R' U' F' U' F) or its left-hand version (L' U'2, L U F U F'), depending again on the rotation of the cube or your grip.
SECOND LAYER
Use the standard second layer method for Beginners, i.e. select the correct edge pieces from the top (with no Yellow colour) one by one and put them in the right place on the second layer. To avoid having to regrip, as required in the most basic LBL method (using both versions of the basic sexy move but having to change hands), I recommend using this instead:
⦁ (R U R' U' F' U' F) or its Left hand version (L' U' L U F U F') as appropriate.
Special Case. Any required edge piece that is stuck in the wrong position in the second layer can be taken out and put on top with same move - (R U R' U' F' U' F).
TIP. If this stuck edge piece has the two same colours as those on the two sides of the cube, then you can save time with the following step, avoiding looking for the piece and aligning it. Immediately after taking it out, do this to put it in its correct final position - U' and another (R U R' U' F' U' F). In this case, the whole algorithm for putting a stuck edge piece in its correct position will become:
⦁ (R U R' U' F' U' F) U' (R U R' U' F' U' F)
LAST LAYER
OLL (3 LOOKS)
OLL Look #1 - Make a Yellow Cross
(This part should be similar to many standard LBL method.)
Look at the shape of the edge pieces on the top layer. If you see:
Case 1. Yellow Line.
Turn the top layer if necessary to make the line horizontal and then use this to get the Yellow Cross.
⦁ F (R U R' U') F'
Case 2. Yellow Angle.
Turn the top layer if necessary to make the angle look like "3:30" on the clock face, then use this algorithm to get the cross.
⦁ f (R U R' U') f'
Case 3. Yellow Dot (= Case 1 + Case 2)
Combine the above two algorithms above for this case.
⦁ F (R U R' U') F' f (R U R' U') f
OLL Look #2 - Matching UP or Orientating the Corner Pieces
*** This part (the rest of OLL) is the main change from other similar LBL methods ***
"Flip Flop and Feed the Fish" 
As soon as you have a Yellow Cross on top, check the corners pieces to see if they are correctly positioned for the final solved position (relative to each other). Do this by turning the top layer and comparing the colours of the corner pieces to those on the sides of the cube, and find the two corner pieces that are correct. They are usually next to each other (adjacent corners), but sometimes they are diagonally opposite each other. Don't worry about the top edge pieces.
We want to fix the orientation of these corners now, right away. Even if all pieces are orientated, ie all facing up, it is still necessary to do this, with the steps/s below. This together with the more use of the Sune greatly simplies the final steps of 4LLL method, and also make the solve more intuitive, as well as more interesting by always finishing with an algorithm with the interesting M-move.
Case 1. Swap Adjacent Corners
Put the two corners that need to be fixed in front (correct ones at the back). Use this algorithm to correct.
- (U R U' L') ( U R' U' L) U
(The last U is not necessary and you can save a little time by skipping it, but it is very helpful as it will line up all the corner pieces in their proper positions so that you can check easily It also helps to set up the cube for a more consistent or predictable position for the next step.)
(I call this simple but useful swapping algorithm the "Flip Flop", due to the back and forth movements involved. )
Case 2. Swapping two diagonally opposite corner pieces
When 2 diagonally opposite corner pieces need to be swapped, turn the cube so that one of them is at the front and on your left, i.e. the two good corner pieces are in the front right corner and back left corner. Then use the same algorithm as in Case 1 and the result is – instead of the diagonally opposite corners being in the wrong positions, you will have two adjacent corner pieces in the wrong position and both of them are on the left side, i.e. the same case as in Case 1. Yu don't have to look or check this result because both the two incorrect corner pieces will always be on the left . Just spin the cube right to put both wrong corners at the front and do the same as in Case 1. The two steps (for Diagonal Swap to Adjacent Swap to fixing all corners) can be combined and performed in one go.
- (U R U' L') ( U R' U' L) Spin cube to Right (U R U' L') ( U R' U' L)
Do a U after this long sequence of steps, to align all the corners in the correct positions for easier checking. This also helps to get consistent resultant positions for the next step. If on checking there is a mistake, then just re-do to get all corners fixed.
OLL Look #3 - Getting all pieces on top oriented.
Once all the corners are fixed, use the following steps to get all Yellow pieces to face up, depending on which shape the Yellow colours form. The Sune algorithm is used extensively here because it does not change the relative positions of the four corner pieces.
Case 1. Fish - Only one corner oriented and there is a Yellow "Fish" shape on top (3 non-Yellow colours facing up)
Always "feed" the Fish and do it from the correct side. When using Sune in OLL, it is important to remember to position the “Fish” so that its head is in front on one side and there is a piece with Yellow colour facing you on the other. If this Yellow colour is on the Right then do a Right Sune. If it is on the left, then do the left hand version. Big thanks to all those great works by all the teacher and content creators, but especially I think this algorithm by Sune is amazing! It can be used for rotation of edge colours, completing the top Yellow face, and orientation of corner pieces without messing up their relative positions.
- (R U R' U R U2 R'), U2
- or the left hand version - (L' U' L U' L' U'2 L) U2
The u2 at the end will line up all the corner pieces to match their colours with the sides of the cube. Go to PLL.
Case 2 - Yellow Cross Only.
Case 2a. Pi (2 Headlights at the front and 2 Yellow facing the sides at the back)
Turn the top layer to have the back of the PI facing you (no Yellow colour facing you, headlights facing back). Do the Right Sune, and you should get a "Fish". Then do a U, and you should have another Fish turned to the correction position (with Yellow colour facing you), then do the Right Sune again.
⦁ (R U R' U R U2 R') U (R U R' U R U2 R') U'
(The last U' is to line up all the corners with the sides, to get ready for the next step in PLL.) Go to PLL.
Case 2b. Two pairs of headlights shining in opposite directions.
Start with the headlights face left and right (and not shining towards you), and then do Sune x2.
⦁ (R U R' U R U2 R') x2
This double Sune can be shortened to just
⦁ (R U R' U R U2 R') U' (R U R' U R U2 R')
Go to PLL.
Case 3. Hammerhead
If you have a Hammerhead (AKA Shark), turn the shark's head to face left (Yellow colour in front and on the left facing you) and do the Right Sune to get a "Fish". If necessary, do another (Left) Sune.
⦁ (R U R' U R U2 R') (L' U' L U' L' U'2 L)
Go to PLL.
Case 4. Headlights Only (all Yellow facing up except the 2 front headlights)
Make sure the headlights are facing you, then do a Sune, U2, and then do a left-hand Sune.
- (R U R' U R U2 R') U2 (L' U' L U' L' U'2 L)
The next move is always U2. It lines up all the corners properly, getting ready for the next step in PLL.
Case 5. Diamond (AKA Bow Tie). All Yellow on top except for 2 diagonally opposite corner pieces.
Turn the top layer if necessary so that you can see a piece with Yellow facing you***. If this piece is on the Left side, then do a Right Sune, or vice versa. You will then get a Fish. Turn the top layer so as to have Yellow facing you and do another Sune, this time with the other hand.
***Lets assume you put the Yellow facing on the Left side, the whole algorithm then becomes:
⦁ (R U R' U R U2 R') U' (L' U' L U' L' U'2 L) (i.e. Right Sune U' Left Sune)
If the have Yellow facing you on the Right side, then use the mirror algorithms - Left Sune U Right Sune.
(TIP. It's possible to streamline this. I always try to choose and do Right Sune first (by turning and having Yellow colour facing me on the left), so that it is more consistent and I can do a U afterwards (without any more checking) to go directly to the next step).
PLL (1 LOOK)
The top face should be all Yellow now. All the corners on top should also be correct. Turn the top layer if necessary to make sure the corners are all aligned properly, with their colours matching those of the 3 sides of the cube.. Only the edge pieces on top still need to be fixed up to complete the solve. And if so, use one of the following steps to finish the solve. If the corners are not all lined up, then you have made a mistake somewhere, and most likely need to go back to the OLL step above (OLL Look #2) to swap and fix the corners.
Except for Case 1, there should be plenty of video and instructions online that will teach the steps listed here.
Case 1 - One of the sides of the cube is solved
Make sure the solved side is at the back. Check the edge piece in front and also those on the two sides of the cube to determine the direction in which they should rotate. Choose one of the following algorithms to do the rotation and finish the solve.
1a. Anti-clockwise rotation of edge pieces.
Hold the cube with the solved side at the back. Then use this algorithm to finish.
⦁ F2 U' M' U2 M U' F2
(TIP. This may help if you also have small hands. I use my right little finger to do M', my left hand to do U2, and my right thumb to do M.)
1b. Back side solved, rotate top edge pieces clockwise
⦁ F2 U M' U2 M U F2
Case 2. Swap opposite edge pieces (H-Perm).
Check the colours of the the edge piece in front and back to make sure they are directly opposite, i.e. Red and Orange, Blue and Green, etc.
⦁ M2 U M2 U2 M2 U M2
Case 3. Swap adjacent edge pieces. (Z-Perm).
For this algorithm, make sure the cube is held so that the edge pieces on the right side and the one at the front are swapped. Otherwise spin it once to the right or to the left.
⦁ M' U M2 U M2 U M' U2 M2 U
And voila! It's so satisfying to see a cube's middle layer turning fast and then stopping suddenly. Solved!
Thanks
