Lay a drop cloth over your countertops. Unscrew all the cabinet hardware and lay the cabinet doors on top of the drop cloth.
Combine 1/4 cup trisodium phosphate with 1 gallon water in a bucket. Put on rubber gloves
and dip a sponge in the mixture. Wipe down the cupboards and cupboard doors. Since particleboard is so porous, you'll have to let them dry overnight.
Pour your latex primer into a paint roller pan and apply a light coat of primer to all the cupboard doors. Allow it to dry for four hours and apply a second coat. Apply a third and fourth coat as well, allowing each coat to dry for at least four hours before applying the next one.
Pour latex paint into a clean paint roller pan and apply a light coat of paint to your cupboards and cupboard doors. Allow it to dry overnight and then apply a second coat, allowing this paint to dry for 12 to 24 hours before you re-hang your cupboard doors.