So I'm not really sure about the differences between the two since I haven't used photoshop bast CS6, but the stabalizer settings are saved for each induvidual brush with CSP, they should be arround the same place where you change brush size, anti-aliasing, etc.
Also with some tablets shakyness/wobblyness is just a thing that's gonna be there on some strokes, stabalizers might not do much to help depending on how bad it is. If the built in stabalizers don't fix your shakyness you might wanna look into Lazy Nezumi which will give you waaayyy more control over your stabilization than the built in features in CSP (and probably the new ones in photoshop)
EDIT: Just so you know I only used Lazy Nezumi very breifly, I've been fine with the CSP stabilizers so I haven't needed to use it, so I haven't purchased it, so I don't use it. But I was VERY impressed by it for the short ammount of time I did.