Edge Orientation:
FUR U'R'F' - 3 prongs
FRU R'U'F' - "Arrow"
Same as 3x3 basically
Edge Permutation:
R, BR, BL edges
Clockwise: R U2 R' U' R U' R
Counter Clockwise: R U R' U R U2' R' (Note: U2' is not the same as U2)
Corner Orientation (THIS IS A SLOW WAY TO DO IT).. Hold Minx so that the corner that needs orienting at Front-Up-Right
Now do F D F' D' until the corner is correctly oriented, and once it is.. Turn the U face to put another corner that needs orienting into Front-Up-Right and repeat.
You can also do this with the Megaminx upside down and doing R U R' U'
Corner Permutation
Put a "wrong" corner in Front-Up-Right
Take note of the colors of the corner (other than the LL color)
Perform R' D R
Now turn the U layer so that the two edges that correspond to the colors of the corner you just "removed" with the R' D R move are at Front and Right
Now do R' D' R
Now, if the corner that was "removed" this time is a LL corner, do the same thing you just did (turning the U layer to put corresponding edges at Front and Right) but reverse the D turn again (you'll know you're turning it the right way if the corners you "remove" keep coming back up).
If it's not an LL corner, just replace it (by reversing the D turn again) with any incorrect LL corner, and repeat the above process, putting that corner in it's place, reversing the D turn etc etc.
Hope that made sense..