Yea I'd say as far as the hands go just put ur arm around her, maybe one hand on her lap, the other playing with her hair. That's what I usually do but then that also leads to other things so yea, I'm not to sure on your sexual situation.

Anyway, my girlfriend fell in love with me for who I am. I say stupid shit but it doesn't matter in the end because we both love each other. It's also the first time I've been in love but not the first time someones fallen in love with me. Just don't act too attached if she doesn't seem too attached to you. But don't get all snotty around her either. Show her you care about her and you don't wanna lose her, but still keep some control of the relationship. Don't show weakness.