Some landlords may refuse to lease to pet-owners altogether, while others may impose undue restrictions on the number or type of pets that can be living in the home. In some cases, landlords may harass or mistreat tenants who own pets, or refuse to make necessary changes to accommodate them.
If you experience discrimination against your pets when searching for a home, don't hesitate to speak up. You may be able to get the landlord to change their policy or address the issue directly with them. If nothing resolves the situation, you may have legal recourse available to you.