I think Mountain Larry is right. Animals certainly can be a part of your family, that said they are usually better off left at home in their own environment.
I don't agree. Karmin absolutely LOVES the beach, the ocean, and the environment way better than where she came from. Even the day she arrived she felt like she was heaven and thankful. If you are going for a month or more and feel you should bring your pet, do it. If they are over 8 years old talk to your vet, depending on the breed it can be dangerous to their health.