In my experience, I find that "no pets" usually does not exclude cats.
Want your search easier? I would be happy to provide you with a FREE account on Listing Book so that you can easily control your own search with very little time invested.
LIsting Book connects to the Multiple Listing Service and will tell you, based on your search criteria, what is on the market; will notify you immediately when something new comes on the market and will also let you know if a rental out of your $ zone has a price reduction into your search criteria.
Not only is it free, Listing Book does not obligate you to any one Realtor; work with whom you choose.
I will need very little information; first & last name, email address, price range. The rest you can put in yourself.