I can specifically look up homes for rent that will accept pets.
Feel free to contact me on the link in this message and tell me how many bedrooms and what is the top dollar you are looking to spend and I will send you a list of homes.
Realtors: Rentals are listed on the MLS, as well as properties for sale.
CraigsList: Often a good place to find housing.
Grocery Stores and Other Bulletin Boards: People put notices up on bulletin boards when they have houses for rent.
Pet Stores and Pet Grooming Services: They'll be linked in with that segment of the market.
Investors: You can find them on CraigsList. Or call a few of the "WE BUY HOUSES" signs. Either they'll have properties they're trying to rent, or they'll know people who do.
Any House That's A Rental That's Been Vacant For 60 Days: Landlords become far more flexible when a house is sitting empty.
Remember: The reason a lot of people don't like to rent to pet owners is the concern (often legitimate) that the house will suffer more wear and tear. And that if there's carpeting, the animals will ruin the carpets...and even ruin hardwood floors. So you may have to put up a fairly large pet deposit. And you may be charged more ($25-$50 per animal is fairly typical) in rent. But smart landlords and investors know that carpet has to be replaced every 5-10 years or so, and that the place needs to be repainted every so often. So if you move into a place with 5 year old carpet and bring along a couple of dogs or cats, the smart landlord knows that the place will have to be refurbished in a couple of years anyway. If you're willing to pay $50-$100 more a month, you've found a place, and it really isn't costing him any more money. And the best situation is when a tenant such as you stays in a place for years. You and your pets are comfortable...you may be reluctant to move because you know it's difficult finding places that accepts pets...and the landlord has a tenant who appreciates the ability to have pets.
Hope that helps.