Around the Seacoast area there are Catterys for cats and kennels for dog, Vets board both cats and dogs and misc. other pet animals. There are two great Doggie-Day Care Centers that also take a few longer term boarders. There are also Pet Services where you contract to have someone come and walk your dog while you are at work -or- up to four times a day if you're away for awhile. They will also feed and water and provide playtime if needed!
Cats and dogs rule, they aren't fools!