In many cases, you do not want to return to your point of origin after moving. This is when you will need a one way moving truck rental. This type of rental allows you to move your things, usually a great distance, and not return the truck to the place you picked it up.
National truck rental companies offer this service. The price will vary depending on where you are picking the truck up and where you will be leaving it. You may want to check with the truck rental company to see if you can pick up or drop off in a location that is a little further than your exact moving from or to location. This may save you some money.