Movelist is at GameFAQs.
I suggest picking 2nd option in main menu, pick a character you wanna learn, set it to Team A, press R to scroll over to the next one and pick a dummy with possibly high HP (like Strike Freedom or something), set the A.I. to stop and set the team to Team B, then scroll over to the other two brackets and set them as empty (no other team members).
Press Start after that, you'll get a menu that lets you pick stages, pick music, etc, press Square to access the battle rules, set Timer to Infinity, Boost to Infinity (until you get used to boosting, then set it to 100%), and Cost for both sides to Infinity...basically max out all the bars...then hit start and get to practicing. I suggest practicing maneuvering and targeting first, having multiple non-moving targets helps you a bit.
Then you can work on combos and shooting while moving.