Lay out a tarp in a protected outdoor area or indoor area with good ventilation. Set the laminate dresser on top of the tarp.
Lightly sand all the surfaces you want to paint. Clean off the sanding residue with a tack cloth.
Remove all the drawers. Use a screwdriver to detach them from the drawer track hardware, if applicable. Remove all drawer-pull hardware and set aside. Set the drawers on the tarp with their fronts up.
Stir paint thoroughly with a paint stick. Pour some of the paint into a paint-rolling tray. Apply the paint to the boxy frame of the dresser, starting with the top. Use a low-nap roller for larger surfaces and a brush with flagged or split ends for smaller areas. Paint the drawer fronts and edges as well.
Apply a second coat when the first coat is dry. The process can take up to 24 hours, depending on the paint manufacturer's recommendations.
Let paint dry and cure at least three days. Put drawers back in the dresser frame. Reattach hardware.