Rent a room in a space where the lease is already active. Most apartments for rent in New York City will require a credit check before your rental application is reviewed and accepted.I have a credit score of 760 and his is over 630, I believe. I think we meet the requirements, especially the income requirement. You'll need to pay an application and credit check fee. Hazel Towers Rental Application. Please fill out the online rental application below. Boost your credit score with rent reporting in The Bronx, NY. Sign up now for Credit Rent Boost's trusted service and see results in days. It is quite difficult to find an apartment without a credit history because most landlords do a credit check on every single applicant. On average, NYC landlords look for a credit score in the range of 650700 as a minimum.