Renting a one way cargo van is a little more expensive than ordinary truck rental in general. But it actually comes out cheaper if you are traveling long distance. Since the distance of travel cost money, you would still be saving on fees by not going back to your original location.
Of course, you should first look for the truck rental company that has a local office or depot in your destination. This way, you can simply rent the cargo van in your location and then transport all your things. After unloading your things, you can simply drop it off in the office in your new area. This will save you money for gasoline and save you some hassle as well.
You have to make sure that you rent the right size though. Since you are renting a one way cargo van so you will not be coming back to your original location, the point is not to keep coming back for your things. If you rent a cargo van that's too big, you would also be wasting money since you would usually have to pay more for it.
There would surely be a couple of companies who offer this service. So, you should compare prices and vehicle first before renting. In order to save money, you should avoid moving during peak days and peak seasons. You can also search for discount coupons and book early.