I lived in Rochester for a couple years and flight instructed part-time as well.
Patrick used to live there as well and took flight instruction with me at the school I used to teach at and at another school on the field as well.
What kind of job are you looking for. I really don't have an "in" up there anymore but I can at the very least give you the lay of the land.
As for places to live, it really depends on your budget and lifestyle preferences. I lived in Gates (nice, but older suburb) and also in the city next to the bar areas (fun, but sketchy). There are some really ritzy expensive areas further out like Penfield and Pittsfield and also some really eclectic neighborhoods in the city near Park Ave.
I'd be happy to answer any questions you have about the area - just bear in mind my info is 3 years old.