"Dresser drawers" refers to the compartments in a piece of furniture called a dresser, where you can store your clothing or other items. Full definition
Your child can safely explore the magical mystery of dresser drawers. (simplybabyfurniture.com)
Fill your nursery closet and dresser drawers with the things you can use now, and label and put away the rest until your baby needs them. (thespruce.com)
Be sure to purchase separate dresser drawers for each of your children. (pregnancy-info.net)