What is the best way to go about paint kitchen cabinets?

Diane's blog In my own style, has a great tutorial on painting cabinets.

Painting Kitchen Cabinets - Tips To Ensure Success | In My Own Style

First decide on color. Take off doors and hinges, handles. Wash off any oil, grease, dirt and let dry. Take doors outside to a place safe to paint and lay down some plastic or paper to sit the doors on with something for them to lean on. Apply one coat of flat paint in any color similar to your finish coat. Allow to dry. Apply 1-2 coats of semi gloss enamel and let dry between coats. While waiting for that to dry give the rest of cabinet the same treatment. Decide if you want new hinges, door knobs and put them up. It's often easier to screw on hinge to door and then attach to frame. Many people add decals of sea shells, seed packets, or other decoration. Maybe a couple of butterflies or birds.

Remember when painting in humid weather it affects the curing/drying time.

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 120- to 220-grit sandpaper. Use a tack cloth or damp rag to remove dust after sanding. Prime with a stain blocking primer like Zinsser 123, KILZ,or BIN and have it tinted to the color of the top coat. This will prevent dark or stained surfaces from showing through the top coat. Acrylic, or water-base, paints are low-fume and clean up easily with water. Alkyd, or oil-base, 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.