Yes, this is a good way to cut down on your moving expense. However, before you purchase materials for your move be sure to let your representative know what you want to do. Packing your own items limits the liability of the carrier.
If you are going to purchase moving materials you may still want the carrier to pack your items. You may also request the moving company to pack your delicate and breakable items only. Your relocation specialist can help you work out the method that is best suited for your budget.