ALL of the city! Seriously, why are you moving here if you are young, single and female? Go somewhere warm and safer than Rochester. I live and work here and even though this is where our livelyhood is, I would never recommend someone such as yourself to move here. I only moved here because my boyfriend grew up here, but I'm old, female and single and even though I don't live alone, I am shocked by the volume of violent crimes here in the city and would never consider living in this area by myself. (and I lived alone in the hood of Irvington, NJ and I felt safer there).
If you MUST move here, find a nice rental in the suburbs such as Webster, Brighton, Pittsford or Penfield. Stay out of the city. Go to www.SpotCrime.com and put in any of the Rochester area zip codes to give yourself an idea of what is going on up here.