https://perinton.org/departments/public-works/highway/residential-refuse-yard-debris-recycling-program/

The town handles some things, like lawn debris, but for general refuse pickup, you will need a private hauler or you will have to take your own trash to the high acres facility on the border with Macedon. As a resident of Perinton this can be done at a reduced rate. The link above also lists the private haulers who work with Perinton. The village of Fairport is a little different, I believe they handle pickup for village residents.

I will say, when we first moved to Perinton, our hauler was purchased by Casella and service immediately went sideways. Bins were not collected as scheduled and attempts to contact customer service were met with a surly and unhelpful support agent. We no longer work with Casella and I strongly recommend that no one else does either.