Consider the hardware (knobs, handles, etc.) on your dresser. Do you like them as they are? Will you paint them a different color or replace them entirely?
Assess the color scheme of your room. Try to choose a color for your dresser that will complement the rest of your room, including the walls and floor and the rest of the furniture.
If you have a few colors picked out, visit the hardware store and ask for samples. Home Depot offers sample paints at an affordable price. Then, test each color by painting a small section of the dresser with the color and see if it works in the room.