This was a worry of ours living in suburban CT, but then sittercity.com I think actually listed quite a few. I had thought it was just for parents finding babysitters, but there's a pet section and it allowed searches by different types.
We've hired petsitters for our cats for years, and that was a big hump to get over. Now I'm sure we'll be petrified to leave our chick-children alone - we've nixed any vacations for the summer since the chicks are coming in June. We'll have to get them grown up and healthy before leaving them to 2x daily checkups. Sigh. Adding a human baby should be easy after this!