Hi Winnie, I use vinegar and water to clean the sticky grease.
I had this problem on my cabinets over the stove and I used Greased Lightening. It removed the grease.
I agree with Kim, except that I put about a tablespoon of Dawn in with the vinegar & water. 50% vinegar & 50% water plus the Dawn. Wishing you the best.
TSP or Krud Kutter.
Cabinets: make a paste of baking soda and hydrogen peroxide and scrub with a toothbrush. Then wipe with slightly damp microfiber cloth.