Unless you absolutely must travel via airplane, stick to driving when you move with your pet. Flying your pet to a new location can be dangerous for a number of reasons. If you must move your pet by plane, fly with an animal-friendly airline, find out exactly what your transportation options are, and learn from the airline exactly what their pet shipping procedures are.
If you are flying to a new home in another country, you’ll need to take extra precautions before the move. For international pet relocation guidelines, start with resources like PetRelocation’s International Pet Import Requirements and IATA’s Country Information Guide, and contact the appropriate authorities in your destination country to make sure you have all the right permits, vaccinations, exams, etc.
Unfortunately, Amtrak does not permit animals on its trains (with the exception of assistance dogs). If you need to take your pet on a train, try and travel via a smaller railroad company with more lenient rules about allowing animals on board.
Once you arrive in your new home, help your animal acclimate as quickly as possible by returning to your normal schedule once you move in. For example, if you feed or play with your pet at certain times of the day, resume that routine once in your new home so your pet will feel more at ease. There will also be lots of boxes and loose items to chew, so keep an eye on your pet as you unpack. With a little care and a lot of planning, you and your pet will be happy and stress-free in your new home.