Art museum a good second date for college students?

Anonymous
I met this girl in my college class and we have been talking for a month already since I sit next to her in class. Last week we had a coffee date right after class since we have a Starbucks on our campus.

We have an art museum on our campus as well (it is a 15 minute walk since our campus is really big) which is free to all students. I don't know if this should have been the first date or not? I don't want her to think I am cheap though. Should I kiss her at the end of the date since this will be our second? Any other ideas for a second date? She likes movies but I don't think she is that comfortable around me yet where I can put my arm over her at the theater.
Art museum a good second date for college students?
4 Opinion