Here is a method that will get all your cabinets really clean using household products.
Kitchen Cabinet Gunk Remover
1 part vegetable oil
2 parts baking soda
Mix together with a spoon and apply to cabinet. You can use a cloth or sponge or cloth but just a little tip – you can use your fingers because you can really work the fine grains of the baking soda into the surface best that way.
However, in the nooks and crannies, like in the corners, it is a great idea to use a toothbrush to get the job done.
The results are pretty awesome.