"Rent-to-Own" .

I have to recommend that you do not attempt this without the advice of an experienced attorney and/or real estate professional.

Lease option - "contract in which an owner leases her house (usually for one to five years) to a tenant for a specific monthly rent, and which gives the tenant the right to buy the house at the end of the lease period for a price established in advance"

Lease Purchase - "a Lease to Purchase contract combines a basic lease contract with an option to purchase contract, which creates a Lease to Purchase contract." The main difference being that the lease purchase contract, the Buyer is obligated to buy; if not, the buyer would likely be in breach