need home but can't leave pets?

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My husband and i need a home to move to and we are probably going to have to rent but so many places dont allow pets, is there any magazines or sites i can go on to look for houses that allow pets? either the whole thing or even a section advertising those places.

also if we get a home that we can rent to own, can they still say no pets or what?

there is no way i can get rid of our two dogs but i still need some help.