I am currently staying in University Hall. Travelling to and from Stoke Bishop can be a bit of a pain. They have improved the buses significantly after a lot of complaints last term, but I still get turned away from full buses sometimes. In terms of facilities, there is a (very) small gym in Hiatt Baker that I got to join for free (it's available for all Stoke Bishop residences). I don't think there are other gyms around here, most people join ones near the university and get the bus down.
Not too sure about the other residences but University Hall has a music practice room (tiny room with a piano), a student bar (ok it's pretty good, cheap drinks and table football, ping pong, pool table, darts, board games and they do showings of TV shows every now and then). There's also a quieter study room and a computer room as well as squash and tennis courts that are in other halls but open to us. There's a small shop by the bus stop with essential supplies (toilet paper, bread, milk, chocolate) but it's rather expensive. It's a 20 minute walk to the next nearest shop (co-op or waitrose) or about a 20 minute bus ride to the big Sainsbury's. I really like it here but having to get the bus everywhere can be a bit annoying. There's also bike storage space which I've heard it quite good if you want to avoid the bus, but there's a huge hill to climb on the way back up!
Let me know if you have any more questions!