There are a lot of way to remove grease from your cabinets.There are many liquids in the market.You can try one of these. Source: http://www.cabinetsense.com/cabinets/index.php
Every supermarket sells a cleaning product called "Murphy's Oil Soap". Mix it a bit stronger than recommended on the label, and thoroughly wash your cabinets. One good thing, you don't need to rinse....