<human>: Condense the text into a few key points

So there's this girl. We have a similar circle of friends and I've kinda sorta known her for a while (very loosely). 

One night at a party, we hook up and I get her number. The following week I take her out to a concert and it goes really well, we click pretty nicely and I take her back to my place and make out on my bed for an hour (didn't go further, she was on her period). The night after that and she asks me to take her to a movie and I oblige and that goes really well too. Two nights after that, she comes over to my place and we make cookies and just hang out for a couple of hours, the night cut short because she had an early class. All of these "dates" have felt very romantic and kinda lovey-dovey, and I'm starting to like her quite a bit. 

I want to pursue and continue this potential relationship, but the problem is that this semester of college wraps up next week, and she'll be going home for the summer while I stay at school to take classes. This presents an obvious problem. I'm going to have a limited amount of time to spend with this girl before we move away from each for 3 months, and I don't know how to be like: 

"Hey, I'd like to turn this relationship into a long term/long distance one despite it being so early in the process," without sounding too clingy/creepy/overly-attached-too-soon. That is obviously not the vibe I want to give off. 

What do you guys suggest? Is it too soon to even think about this sort of thing? I just wanna keep the fire burning, ya know?
<bot>: How do I tell a girl that I've been on 3 dates with that I want to keep "seeing" her while she's gone for 3 months, without sounding like a weirdo.