Dressers for baby clothes are basically the same as dressers for adults, and have historically been called a chest of drawers, which is perhaps more descriptive of what a dresser actually is. It sounds a little old fashioned to call a dresser a chest of drawers, though, so we'll stick to calling them dressers.
Many
baby dressers are also changing tables for changing your baby's diapers. Some
baby dressers have cabinets as well as drawers, and some include an adjustable shelf within the cabinet.
As with so much else in baby furniture, a dresser is going to be something you should select based upon your taste, your budget, and how multi-functional you need each piece to be depending upon how much room is available in your nursery.