Flight
T. F. Green is by far the closest airport to Providence, but is also smaller (and quirkier - check out the display of locally made biomedical devices!) than Logan. 15-minute drive to the city.
Flight
Logan is the largest nearby airport to Providence. It is about an hour from the city by car. If you prefer public transport, South Station connects Boston to downtown Providence by train.
Hotel
When we visit Providence we usually stay in apartment rentals (Airbnb or VRBO), but if you're looking for a hotel, this is the nearest large and affordable one. We don't have a block booking, but it should have plenty of rooms available. Evan has stayed before, and describes it as "nice view, sneakily convenient" for places on the East Side - which is where our venues are.