Below are some links to companies that will provide you with a cheap moving truck. Sometimes it is easier to rent a moving truck rather than use a large van line or moving company for your move if you are only moving across town or a short distance. Many companies provide cheap moving trucks, such as Penske, u-Haul and Budget truck rental.
Another alternative to a moving truck are the self pack movers who will drop a trailer or pod at your residence. You would then load the trailer or pod and call for them to pick it up and they will deliver it to your new home where you can unload it.