Hi! Well done for sticking with it!
You're starting to get to about the time when you should be trying out a few methods to see which one suits you. You can still get your time down with your beginner's LBL method but, now you're becoming a bit more comfortable with the cube, you can start to decide what you want to learn next.
The wiki has quite a good overview of the main methods:
Fridrich
Petrus
Roux
ZZ
Do some research into these methods and read through/watch a few tutorials and see which of them take your fancy. There's no reason you can't learn more than one of these methods, but before long you'll probably want to start specialising in one particular method.
Each method has it's pros and cons, and no one will be able to tell you which method you should choose. It's up to you!
Fridrich is certainly the most similar to the method you're using, and I find it's fairly easy to get the idea behind Peturs. I remember finding Roux a bit confusing initially, but now I think it's one of the most interesting methods out there. The concept of good and bad edge orientation can also be quite challenging if you're just starting out, and is a main aspect of ZZ. Anyway, those were just some of my initial impressions of those methods, but perhaps yours will be different.
Remember, there are many options open to you now, so try and gather as much information through your research as you can. While you can always ask for as much help as you need on this site, many of the decisions now will need to be your own. That's part of the fun, though!
Good luck! =)