As a former realtor, prices for 2 bedroom rental apartments in the Bronx start at $2,000. and go up. In Manhattan, prices start at $4,000. In Queens and Brooklyn, prices start at $3,000.
If your income is $120,000. you need to cut your expenses and increase the amount for rent. Work out a budget that you can stick with and one that you can afford a 2 bedroom for $2,000.+