On the first date, have fun. I steer clear of lunch dates, coffee dates, theatre dates,ect. for the first dates.
You should be having a good time with her and she should. THAT'S IT. Don't overanalyze things, don't worry about making your "move." Because remember, on a first date, you need to establish a CONNECTION and you need to establish COMFORT. Once these two are met, you're set. The best way to do this is to have fun.
You say she was nervous. Why? Or are you just over-analyzing things? Either way, remember, comfort is your goal.
She's going to call you? Bad move. You need to establish some control of the situation; if a relationship was a car, then you're the driver!
This means that at the end of the date, when dropping her off, you'll get some natural KINO going (maybe put your hands on her hips), establish eye contact, mention you had a good time, and tell her you'll call her.
When an open slot comes up, and you feel like going out again, you'll call her and, assuming your first date went well, you'll go out again. Simple as that.