Broke up with my girlfriend, and had to find a room to rent off of Craigslist on short notice. Been living in this rented room for a couple months, and I recently met a girl I like. We've been on about 4 dates, made out on the last one.

So here's the thing: she owns her own home, so it would be a little embarrassing asking if she wants to come back to my "room" like I'm 19. Any suggestions? I feel like it would be awkward to ask to back to her place after the date