Not that many UR students decide to live off campus because it is much more convenient to live on campus. But for those who do decide to move off, there are a lot of great neighborhoods close to campus that have places to rent. You need to have a car though, because you will rarely find a place close enough to campus that you can walk or bike. Your best bet is to find three or four friends who also want to move off and look for a house together. That way you can split the rent, and your house will be a lot more fun. If you want to move into an apartment, HoneyTree or Horsepen are your best options. Both are close to campus, safe, and affordable. One advantage to apartment living is that you get to pay for all utilities at once, and you get to use the apartment complex facilities—both Horsepen and HoneyTree have pools.
One of the biggest benefits to off-campus living is not having to deal with the strictness of RAs or campus police. The only downside is that if you have a party at your place, you have to deal with the real police, who tend to be less forgiving. If you feel the need to move off campus, make sure that you check out the place thoroughly before agreeing to rent it or else you might be sorry later. However, most students feel more comfortable on campus because it is easier to wake up and take a short walk to class instead of worrying about parking.