The university of Rochester runs their own bus line that covers Cornhill, Monroe Ave and Park Ave. areas of the city (you would have to check with them as far as routes and availability). I have 1 bedroom units available in Cornhill neighborhood which is a historic district just north of campus can walk it but again there is the U of R bus line. These units are available for a December or January move in with some specials going on. The units start at $775 per month which includes electric for lights, you have to pay for heat and cooking gas. Please call me if you are interested in them.
There are many choices of apartment complexes right down the road in Brighton.
Some do restrict as to what year of college you are in. Many UofR grad students reside in this area due to the ammenities.
If I can be of further assistance please don't hesitate to contact me (even today)