I would take the mechs off the door before you attempt any cleaning. You don't want to knock any loosened debris into the switches or anything else. They come out very easily don't worry. Once you have them out, you'll see that they are spring-hinged. Check for anything loose (screws) first, and if all is well, you will easily see where "gunk" has built up. Pipe cleaners or Q-tips (the Dr. type with wooden sticks are nice but not necessary) will help you a lot. Be careful not to bend anything forcefully or turn the adjuster screws and you'll be fine. WD-40 will help you to dissolve any heavy build off, but wipe it down afterward, don't leave it wet on there. Personally, I think it's kind of like a dust magnet. Any decent lubricant will work also, something like Break-Free CLP(gun cleaning oil/lube, sold at wallymart), a little dab of white lithium grease, or even 3-in-1 household stuff if that's all you have. You don't need a lot, just a tiny bit of lube on the moving parts, and work the release lever. Before you put the mechs back in, visually check the coin slots and give them a quick wipe down. Take a peek at the drop chute too, just be careful about not bending the switch wires.
All in all, it's real simple to do, and you will get a nice understandin of how your coin door functions.
D13