A dresser is heavy mostly because of its drawers. Whether you pull them out or wrap them shut depends on the weight and the distance, and knowing which to choose saves your back and the furniture.
Pro tip: If you leave clothes in the drawers, remove just the top one or two to cut weight while keeping the packing convenience.
Watch out: Do not carry a dresser by the top edge or a drawer front, since these can pull off; lift from the solid bottom frame.