I am in a similar situation,
Just started to chatting to a really cute girl at uni this week.
Hopefully gonna be spending alot of time together "studying"
My problem, and i am not ashamed to admit, is that i get too attatched too quickly,
and they end up being all i think about. I lose all focus on other things in life.
I have tried to sort this out by talking to 3-4 girls at once instead of just goin crazy over 1.
Good luck