The easiest way to get your car from one place to another is, of course, to drive it. However, shipping a car using a vehicle shipping company to your next destination might be easier.
There are many companies that will ship your car, usually aboard a large truck. If you are moving your entire household, it may be a good idea to start by asking your moving company if they will also transport your car (some will).
Auto shippers vary in their services and prices, so it's an excellent idea to get several quotes before making your choice.