Just bought a house, the previous owners painted the bedroom walls with latex paint over oil based paint on sheetrock. This paint is peeling off, rubbery like in places. Would like to use latex paint but unsure how to remove the peeling paint?

We bought an old house 4 years ago. Apparently the previous owners used latex paint over oil-based paint on the kitchen cabinets, now it is chipping everywhere. How would I go about repainting these cabinets?