Took off the hardware (I got out the drill and drill bits, my hubby said that was wrong and showed me how to use the drill thingy to get out the screws and remove the handles).
Garrett suggested I put the hardware through the dishwasher, so I did. They got partially clean then I had to scrub them with a toothbrush and dish soap.
I scrubbed the cabinets with Murphy's Oil Soap and they looked really good, wet. When they dried they look a bit distressed (old), oh well!
The picture below is before the scrubbing.