• Spend "quality" time with your pet.  Let them know that they are still on your mind.
• Go to the vet and have a check-up done before the move. 
• Get copies of their vaccination records etcetera from the Vet.
• Ask the Vet if they have any Veterinary facilities that they can recommend you to. (Many Vets have colleagues all over the country that they can refer you to.)
• Talk to the Vet about the move and how you plan to move your pet. (They may prescribe something to calm your animal either during a long flight or drive.)
• Purchase a carrier for your pet. (If flying with your pet, check the guidelines for the kind of carriers you can use.  If you want to take the pet with you on the actual plane, you will have to check those guidelines and see if you can book it.  Airlines usually have very limited space available for pets on-board the actual passenger areas.)
• Watch their diet and make sure they are eating properly
• When in your new home, let your pet explore their new home a little at a time until they feel comfortable with it. (Ferret owners, don't forget to "Ferret proof" your home.)
• Make sure their tag is current with your new phone number.
• Check with the local area regarding regulations regarding pet licenses and vaccinations. (Ferret owners, since ferrets are still illegal in a few states and areas, be sure to find out before moving. They are legal in Colorado.)

Minnesota Veterinary Medical Association- An informative article about acclimatizing your pet to their new home.

Air Animal Pet Moving Service- Provides moving services just for your pet.