<human>: Can you succinctly summarize the text in 1-3 sentences?

Me 23M. Her 21F. (If that makes any difference?). Wasn't sure whether I would post here or in r/dating_advice. Anyway, here goes:

So I've been dating this girl for a while now, we met over 2 months ago and had several dates during the summer. They've all been great but we've mainly been out in town having "short" dates due to conflicting schedules. We've basically made out a lot, drinking, talking and just really have a good connection. I really like her and I know she likes me too.

About 2 weeks ago we had dinner at my place and she spent the night, but no sex. (Heavy makeout-session though with shirts off, she wanted to wait). After that I spoke to her a few times on the phone, but didnt see her again until today when we just had coffee before she had to leave for a birthday party.

She's always very busy and working late, and one of us always have to wake up early in the morning so we can't really spend that much time together. Usually 1 or 2 weeks pass before we see each other. Next week she has two days off, but she said she just wants to stay at home and relax because she's been working so much, but we agreed we would try and make plans for another day.

I want to move things forward and maybe make her my girlfriend. I guess at this point we're only casually dating when we both have the time. I'm not really sure what she wants though and we haven't really talked about it, but she's always down to see me again, so I know she wants to continue dating. She even said that she's tired of one night stands and prefers building an emotional connection with someone.

So my questions are: How do I move things forward? Do you have any tips or suggestions to what I can do to make the times we actually do see each other special? Should I maybe talk to her about it or would that ruin things? My initial plan was to wait until after we had sex and see how we felt about each other, but maybe I should bring it up anyway?
<bot>: Two busy people dating each other and can only see each other for short dates with lots of time in between. How do I move things forward and make it into something more than casual dating?