Are you looking for a rental home, an apartment or it doesn't matter either way? I'd also include Endwell, Chenango and Dickinson as well. This may help and keep in mind that because it says "Binghamton" doesn't mean that it is within the city, if that is an issue. They may actually be in Chenango, Dickinson, the Susquehanna Valley SD, etc.
http://www.apartmentfinder.com/New-Y...ton-Apartments