Don't stay around UT because that neighborhood is just so-so and kinda unwalkable, not much interesting stuff to check out. The Gayborhood rocks and is super central to good downtown bars/restaurants/coffeeshops, not a bad shout at all.
Old City/Society Hill/Queen Village are all beautiful to walk around in, this might be my top suggestion. Otherwise, Fishtown would be nice for a stay, not too far of an Uber back and forth to UT and there's plenty of nightlife there.
hmu if you need any additional recs! Union Transfer is also the best venue in the city!!