- A good thing to keep in mind is that it might be useful to know what moves will occur given a certain input. Both for Deja and Proof. 
E.g. Proof X + Up throws your opponent over you, in a seated position. X + Left / Right does Alley Cat (Fast Side Throw), and X+Down does a Powerslam (in front of you). I personally use these to redirect my enemy towards the turnbuckle. If they're in the corner, use a soft grapple for momentum and damage.

- Pins are fine for Peewee, Drake, Sketch, Razor and Steel. Ruffneck and Scarface are very inconsistent, so better to KO them. Everything after should be KO'd.

- Tag matches have a very annoying mechanic where you can't KO the enemy if he's 'Returning to the outside of the ring'. They do this randomly as well. The best thing to do is to use Manny and KO the original enemy asap.

- Hard Grapples should only be used on an opponent close to or in Danger! mode. Everything else will result in a counter.

Thank you! I look forward to trying them out!

I assume you're playing on Hardware?
I can make a seperate category for that if the increase in time is too much.