How do I paint laminate kitchen cabinets?

You can use primer then paint but you will need to lightly sand the veneer ( and the wood doors as well ) to give the primer something to adhere to. Be sure to clean away every bit of dust so it doesn't appear on your cabinets when you apply the primer & paint. Be sure to let the primer dry COMPLETELY before applying the paint and let each coat of paint dry completely before applying the next. Good luck! :) Hope they turn out beautiful.

How to Paint Cabinets

Make sure they are clean and dry. Remove the doors and hardware. Mark the doors and cabinets with tape where they go. Lightly sand the doors and cabinets to remove any gloss and roughen the surface for paint with 100 grit sandpaper or a green Scotch Brite pad.. Use a tack cloth or damp rag to remove dust after sanding. Prime with a stain blocking primer like KILZ. Acrylic or water base paints are low-fume and clean up easily with water. Alkyd or oil-based paints require good ventilation because the paint contains solvents that can irritate your lungs and make you feel sick. Alkyd options require mineral spirits for cleanup, but they provide a hard, durable paint finish. Whichever you use, buy the best-quality paint you can afford for a lasting kitchen cabinet finish. Seal with at least three coats with a water based polyurethane. Use a small foam roller and foam brush for a smooth finish.

Take a cabinet door to the paint dept. and ask for their advice on paints and application products. They may have ideas and methods you never thought of!