Remove any objects from inside the cabinets. Remove doors and any hardware with a screwdriver. Work with a partner to remove the cabinets from the wall -- although, this is not necessary if you can safely and easily work on the cabinets without removing them.
Wash the cabinets with an all-purpose cleaner or a gallon of hot water with a few drops of dishwashing liquid mixed in. Use a sponge or cloth to wipe away any dirt or grease buildup. Rinse the cabinets with water and a fresh cloth before allowing them to dry.
Sand the formica down with medium-grade sandpaper. This will give the surface a rough texture, which will give the primer and paint something to cling to. Wipe away any dust with a damp cloth.
Mix the primer thoroughly with a paint stirrer. Pour the primer into a paint tray. Roll the primer on the cabinets until they are completely coated. Use a small paint brush to get primer into narrower spots, such as the edges of the doors.
Allow the primer to dry completely. Mix the paint and apply it using the same method you used with the primer. If desired, apply a second coat of paint once the first coat is dry.
Apply a clear, protective top coat, such as polyurethane. This will protect the paint and the cabinets. Stir the polyurethane gently, then pour it into a small bucket. Use a soft-bristled paintbrush or an applicator made from foam or lamb's wool to spread it over the cabinets.
Allow the polyurethane to dry. Lightly scuff it with 400-grit sandpaper, wipe away dust and apply a second coat of polyurethane. Reassemble the cabinets once the final coat is dry.