Hey Laurie
I would lightly sand them a little with sandpaper , blow off the dust leftover from the sanding, then prime them with primer (which is white or grey) and paint em using a Kitchen/Bathroom Paint. which is moisture & mildew resistant. ( Not any household paint yu have lying around). Wait 2 to 4 hours for primer to dry and start painting using a roller brush and get urself a small little brush for the crevasses and stuff. Ive painted alot myself and they turn out beautifully. I do not care for oil base either!!
Black or Shocking White cabinets look gorgeous in kitchens with new hardware. Happy painting!!!