Hello, I tend to use a soapy water Dawn solution for mild weekly cleaning and Murphy’s oil soap for more moderete cleaning jobs. Murphy's oil soap is an excellent all purpose wood cleaner.
For greasy kitchen cabsInents -I would suggest Krud Kutter
I always start with Murphy's Oil Soap.
My choice is also Murphy's oil in a weak dilution.
Elbow grease with Dawn and clean rags. Rinse and scrub gently. This should work. I also use Murphy’s oil soap.
I hope your cabinets come out nice and clean for you.