Welcome to the forums. It is great to have you here.
A few thoughts for 2x2 which might help you are, (1) If you have not yet finished learning full CLL then I would definitely recommend that you finish that and make sure that you have all the algs fully down without pausing or hesitating, (There are still a few algs that I still have a little trouble with recognizing, but that is getting better). (2) Once you have all the Cll algs down you should start to drop your times down to around 3 seconds or less. (3) This applies to the second thought and it is, make sure that your first layers are efficient and only take a few moves. (4) Make sure that you are color neutral, seeing as that will help you to solve easy cases that you would not be able to do if you are only single or bi color solvable.
I am not completely positive as to what is the most important thing/s to practice first other then knowing full CLL, especially since I have been practicing it all at once, but I am sure that other cubers can provide more incite to that, but I hope that this at least helps to some degree.
