Look at the single family homes for lease that are larger square footage. You may pay a little more but they are more likely to allow you to have a few more pets.
I have access to a host of houses that will allow pets as long as you pay the security deposit unless you have something like 4 pitbulls or aggressive breed dogs. Give me a call if you are still in the market for pet friendly housing.
Chris Hutchinson Real Estate
The Michael Group