Check your mail. I sent you the tradeable ones from my suggested list here:
That still leaves you needing
Capturing those, I think, is a manageable goal, and when you have that set, you can take on most battles in the game, though the method may not be in a standard strat.
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When you get these pets, TRY TO LEARN THEM ONE AT A TIME. All of them are powerful and useful pets, but getting a bunch all together is quite likely to lead to confusion more than progress if you just uncage them and slot them away.
I have written a brief description of how to use each in my post or in the entry on Xu-Fu’s. Use each in one or two battles accordingto my instructions so you get the basic idea of what each one does.