as a fellow female transplant from boston - i suggest renting a studio in one of the many loft complexes in providence and pawtucket for one year or 6 mos. It might cost slightly more but they often give u a free month and/or include utilities and parking.
Its easy to move in and out, they are great with maintenance and have security. They aren't perfect but remove a lot of unknowns.
Honestly the neighborhoods of providence are really small with their own vibe. it will take u a while to choose a fave. My first place was in smith hill - found out i was paying for the tenant downstairs' hot water. So i moved to the west end - great apt and cool neighborhood although walking around alone sucked. I'd live there again. Just. Don't get a first floor apt.
I also lived in elmhurst ( was okay - boring) and in an old mansion in pawtucket ( gorgeous apt depressing neighborhood) I'm older now and live in the east bay because i can get to providence in 10 minutes and the beaches and neighborhood are beautiful.
I'd say make an adventure of it for a while, learn a lot and then find a place to settle in that truly suits you.