The cheapest neighborhoods for apartments are in Inwood, Washington Heights, Astoria, and Sunnyside. For a studio you can pay anywhere from $800 to $1000 per month. A one bedroom will run you $900 to $1400 per month and a two bedroom anywhere from $1200 to $2000 per month.
By regular standard no apartments are very cheap in New York. Most of the cheaper apartments are priced at $1,000 a month for a small studio. For more information and to find an apartment, please visit: www.echeapapartments.com