Besides a truck, you may need various pieces of equipment to make your move easier. If you're doing your own move, check with your truck rental company to see if these items are available.
For appliances and other large objects, a dolly with heavy straps will help move equipment and large pieces. Many rental trucks have ramps to ease loading, but in special circumstances -- for instance, a crowded street where it will be hard to make room for the truck and a ramp -- you may want to rent a truck with a liftgate instead.
If you must move many loads up a flight of stairs, you may want to ask about a stair-climbing dolly. These have special arrangements of wheels which rotate to make it possible to pull the dolly up the stairs.