Use Veekun. It list all moves available. Although when you check evolved pokemon, it doesn't list their egg/breeding moves anymore so you'll have to go back to the basic form to check out those

About Natural Gift, you should check out the ASB Move List. It explains how things like Hidden Power, Natural Gift and Secret Power work (and any other move ofcourse).

And don't think about quiting with battling. Just get the hang of it again, which is only possible by trial and error. It's no biggy.

Now for attacks; Psych Up won't do nothing so hit it hard with a Dynamic Punch. Then follow that up with a Minimize to avoid the Psycho Cut. Finish with your most powerfull move, Gunk Shot.

Dynamicpunch ~ Minimize ~ Gunk Shot