I keep a spray bottle of "Purple Power" cleaner and degreaser and a roll of towels in my trailer. It cleans really well and a 1 gallon refil is less than 3 dollars at the local Wal Mart.
I've seen others use Windex, Formula 409, and other household spray cleaners for cooking grease splatters.

make sure you test it on a spot that you aren't afraid of staining just in case it isn't compatible with your covering.

I hope this helps.