Cheap Apartments For Rent In Amherst Ny . As of june 2022, the average apartment rent in amherst, ny is $885 for a studio, $1,360 for one bedroom, $1,710 for two bedrooms, and $1,816 for three bedrooms. Browse 7 cheap apartments for rent in amherst town, ny, priced from $945. Amherst NY Low Housing and Apartments from www.lowincomehousing.us Apartment rent in amherst has increased by 24.5% in the past year. Payment (low to high) 459 bernhardt dr apt 1, buffalo, ny 14226. Apartment rent in amherst has increased by 3.7% in the past year.