Leases is an extensive subject that covers a variety of topics, including vacancy leases, renewal leases, security deposits, roommates, subletting, and more. Find 44 flexible and convenient short-term apartments for rent in Bronx.A New York monthtomonth lease agreement is a contract landlords use to rent out residential property for one month at a time. Learn what a rental lease agreement is and what it contains. Find out what an NYC lease covers and what New York laws will protect you. Copy of the rent stabilization lease renewal form indicating the new rent and lease term;; Approval letter from the governing agency e.g. You can do one of two things: 1) Sign your own lease or 2) Find a sublet. If you leave your apartment or other rental home before your lease ends, your landlord must make a good-faith effort to fill the vacancy. Stop paying your rent for a few months. It might mean you don't pay the rent for the last month of the lease, or it is factored into a discount off your monthly payments.