My husband and I made this choice last year. We were in a 14618 area code, Brighton address, Pittsford schools. We then moved to 14534 Pittsford area. We like both schools and each has its own strengths. Really the decision is about what type of home do you want? Age and Size play a big factor.. since the types of homes vary greatly between each town. Also what type of lifestyle are you looking for, privacy, sidewalks, close to town, large lot etc.
In regards to the school districts, it is on a street by street basis.
By the way, we moved to the Rochester area from out of state... I understand Relocation and the challenge of finding a community that fits.
Happy to assist in any way.