Actually, the pets will have a far easier time of it than you will. Basically, all they need is a health certificate and their shots up to date. (If it only were so simple for us humans.)

Well, unless you've got something exotic and potentially threatened or threatening... But cats and dogs are generally pretty easy to move over. (There is, BTW, an excellent pet transport service in San Francisco that will give you all the information you'll need, even if you don't use their services.)
Cheers,
Bev