This is a common question people have when moving drawer cabinets. The answer is, that it depends on the drawer cabinet and what type of drawers they are. If the drawers are made of solid wood, you might want to leave them full so that they don't warp or crack during the move. However, if the drawers are made of particleboard or another type of material that isn't as sturdy, you'll probably want to empty them before moving so that they don't break.