Be sure to attain your pet's veterinary records so that they can be forwarded to your new veterinarian. Make sure you carry copies of the records with you during the move.
If you plan to move your fish visit your local aquarium or pet shop and ask for special fish containers. They should be able to offer suggestions on how to transport different types of fish and other aquatic animals. More information on moving storage container here.
When moving your dog or cat make sure it is wearing an ID tag bearing its name, your name and new address, and a phone number to call in case of emergency.
If you plan to move your pet, you may need to purchase a pet travel carrier for the trip. The carrier should be large enough for the pet to stand, turn around and lie down in. The carrier should have ample ventilation, a good bottom lining, and a secure door closing.