For cleaning off the circuit boards a common household spray cleaner like Mean Green or 409 is good along with a good scrubbing with both a toothbrush and an 'acid' brush (paint/hardware store item). The circuit boards should be removed from the monitor. You'll want to unsolder and remove the soldered in fuses (don't want water to leech inside!), flyback, degausser thermal resistor (little black square box), and loosen the screws holding the horizontal output transistor and the B+ regulator transistor. After spraying,scrubbing, and then rinsing with warm/hot water you'll need either an air compressor (with a blow attachment) or a can of air to blow the water off from/underneath components. Pay particular attention to thoroughly blowing out the water from the picture tube socket on the neck board. NEVER LEAVE WATER/CLEANER ON THE CIRCUIT BOARD TO SIMPLY AIR DRY. Water and spray cleaners contain minerals that literally eat the copper foil and component lead wires. Thoroughly blow off any water and then set in front of a fan or hair dryer. Once dry then retighten the screws on the transistors, reattach the flyback (which you cleaned seperately with a damp cloth), and resolder the fuses back in. Now you can reassemble and power up.
Watch out for paper label that may be on the chassis as some cleaners may ruin/fade the ink and/or soften the paper.