Moved here from Philly about 8 years ago. I’d recommend checking out the West End, Hope Village, and Fox Point. The lofts in Olneyville/Valley are worth checking out too. It’s not an easy place to find an apartment though, the recommendation someone else made to get a long term Airbnb is a good one, and what I did when I moved here. And honestly a lot of the locals will give hilariously out of touch advice about how dangerous downtown Providence is. If you’ve lived in a city before and have even a shred of common sense you’ll be fine.