There is a great article on Suite 101, called, The Correct Paint for Inside & Outside Painting, that explains the differences very well. After you read it, come back here and see if any of these answers are even remotely sensible to you. The "washability" factor alone, particularly as the question involves painting a kitchen, is enough to be concerned.
The main difference between exterior and interior paints is that exterior paint has better UV resistance- outdoor paint is OK inside but not the reverse. In your case I would block-sand what you've got smooth, clean to degrease, then recoat with an oil-based gloss enamel paint- either exterior or interior grade. A well-done brush application gives a classic appearance but a smooth job can be done with a foam roller, which will leave them looking almost as if the finish was sprayed on. Working with oil-based gloss paint isn't the same as working with latex, you'll need to thin it, spread it evenly, 'lay off' the brushstrokes gently where they end, and apply as many thin coats as it takes to cover the color. Most important is that you can't dawdle with this paint; work too slowly and it will 'rope' and leave built-up streaks and blemishes in the finish which will have to be left to dry then sanded down just as if you were starting over. This is not low VOC paint and may not be available where you are, but as a paint finish for cabinets nothing comes close to it's beauty and durability.
If you're not sure if you can handle oil based gloss, practice on something else till you're confident you can get it right. If something goes wrong, stop and let it dry- don't try to fix it wet because you can't. The final coat needs to be completed at one shot so there are no lap marks. Get it right and you'll be proud as a peach to show off your handiwork- there is nothing more beautiful in paint than this.
If you go with a latex finish, the prep is the same but the application is much more forgiving. Latex is self-leveling; oil is not. Once again the foam roller will make a nice finish easy to achieve. The finish will not be as durable or shiny as oil, but can still look very nice if done well.
NOTE: Sanding old paint may create lead dust which may be harmful to health, especially in children. Wear a dust mask as the minimum and observe the higher OSHA standards as a good practice.
source : Interior designers in chennai