Once you get a girl's number and finally make the date happen, shit can be weird, lets be honest. You're both sitting there with a complete stranger talking about just the world. What I found out last week was this one point I want to share:

Drag it out. Make it a long time.

The longer you sit there and continue talking, the more comfortable it will get. Keep making eye contact. Be comfortable if it gets quiet for a few seconds between parts of the conversation and just relax. You don't have to be in a hurry to ask her every single question about her life story. After 2-3 hours of two people hanging out, you'll see that the date has naturally become more comfortable just through time. Keep it in mind.