Because of safety and public health concerns, shelters don't allow pets, except Seeing Eye dogs. Leave pets alone at home only as a last resort. If you're going to board your pet, now's the time to call your local veterinary clinic or the Humane Society for kennel locations. Some branches of the Humane Society accept pets, but call first. Call local kennels now and ask about emergency procedures and admission requirements.
Many kennels require proof of vaccinations, so arrange needed vaccinations now.
If you're going to be traveling with a pet, consider buying a portable carrier or cage. The carrier should be large enough to allow the pet to stand up and turn around. Bring along a collar with identification, a familiar towel or blanket, a supply of water and food, a leash, and any medications needed. Get animal identification tags now. Tags increase the chance of an owner-pet reunion after a storm.