Briwax is an excellent choice for cleaning up kitchen cabinets. The inherent solvent in Briwax will clean off the grease and the wax will fill in the scratches and leave a wonderful beeswax film on the cabinets themselves.
The photo below shows two cabinets that the manufacturer gave us 15 years ago. We let one of the cabinet doors alone, we did nothing to it, and the other we waxed with Briwax Light Brown. As air dulls the finish (oxidation) of one door, the other door with the Briwax seal prevents the oxygen from reaching the finish and dulling it. The Briwax finish will oxidize (the beeswax will dull) in a few years but a simple buffing with a clean cloth will restore its lustre.