So, there is a really cute girl in my class that seems to be attracted to me. We've made really strong eye contact in class and sometimes when we see each other at the dining hall. I never really approached due to inner-game problems. But tomorrow, I'm putting all that aside and I'm going to approach her.

My plan is to sit next to her in class and say something along the lines of, "Hey, I think you're really cute and I just had to introduce myself. I'm ******." As class ends and we leave, I plan to say "I gotta go, but I'd love to take you out for coffee."

Is that a good way to start talking to her? I'm pretty sure she's into me and wants me to talk to her.

I also don't know what to say after that line. Just shoot the breeze with talk about classes and where she's from, then ask her out for coffee?