Remove all of the drawers from the dresser. These make up a significant portion of its weight, and it is much safer to lift the dresser without the drawers. Plus, you do not have to worry about keeping them in place while you move the dresser.
Measure the dresser and any doorways you need to go through to ensure that it will fit. If the dresser is long, use a rigid tape measure to determine whether it will clear tight corners. If not, you will need to stand it on end to get it through these parts of the move.
Position one person on each end of the dresser. Locate where you will place your hands, ideally using the lip as a handhold. If you need to move the dresser up or down stairs right away, the person on the bottom should hold the dresser from underneath to avoid back strain. If the stairs are in the middle of the move, set it down and reposition it before and after going up or down.
Bend your knees and straddle the dresser, put your hands in the selected positions and pick up the dresser from both ends at the same time. Avoid leaving a large gap between the dresser and your body, which causes back strain.
Walk slowly, counting together as you take steps so your pace is equal. The person who is walking backward should be in charge of the pace and the person walking forward should help steer in the correct direction.