Few and far between! You might try putting a "best pet" spin when calling for rentals. Be honest, is your pet small, clean, scratchy, trained, immunized? Some landlords will be more open if you'd put a separate, good-sized, pet deposit down. Saying you'll clean the carpets and paying for it up front can turn it around for you. That said, I'd start looking now, in every source--online, in the paper and my personal fav: facebook. Hope your WHOLE family finds a home soon.