Regarding 2x2 (though I think others mentioned it, not you), i think you should learn ortega, guimond and then CLL. However, other methods such as SS or OFOTA have more algorithms than CLL but are just as fast or faster. Imo, EG is the best method, but since it requires learning CLL, and then learning 2 more algs for each CLL cases (for each permutation on bottom), it's a lot to take in.