It is important to keep your pets safe and happy during moves. Here are some important tips to eliminate the stress:
Ensure that the pet has a tag and collar on with contact information and is secure in a crate or in a room behind closed doors during the move. Animals tend to become skittish during the activity and may run off  with the  first opportunity they get. Many dogs and cats are lost during moves.  Take care when opening the door of the car and have them in a crate or on a leash while inside the car.
Do not leave the pet in the car in hot temperatures. Have plenty of food and water for the trip and your pet's blanket to make them feel more relaxed and comfortable.
If your move is a short distance, you may want to consider placing your pet in a kennel for a day or two.