<human>: Can you summarize the given text in a few sentences?

So I met this girl yesterday and started talking to her. We talked for 10 minutes or so and I am really into her. Tomorrow, I will ask her to lunch after class. Question is:

a) How do I ask her to lunch? I was thinking of starting off with:

"Hey are you hungry?" she says yes (hopefully) "I was thinking Chinese, unless you have a different preference?" Does this sound fine? 

b) Do I pay for her meal? It's not expensive but I don't want it to seem like it's a date (because I don't think she'll think it is one..), and I feel like it'd be awkward. 

c)How do I ask for her number? Oh my, this is the most important. I walk her to the train station which is a 10 minute walk. What can I do or say in a *smooth-criminal* way to get her numbah?

Thank you, guys!
<bot>: Met and talked to this girl yesterday, how do I ask her to lunch? Do I pay for her lunch? How do I get her number?