Suggestions for cleaning hundreds of socketed chips?

Hey all -- I've gotten the power supply in one of my ND-812s running (thanks for the help w/the 1103 data which helped verify the voltages) and it appears to be within spec under load (correct voltages, no ripple in the output, etc...) so I powered the machine on and despite having my fingers crossed, the machine does not run. (No real surprise there). Random lights on the front panel, and basically no response to any toggle switches. I started pulling out and reseating the chips on the main CPU board and powered it up after every few rows, and every time the behavior was slightly different, so I'm fairly sure that the sockets and chips aren't all making good connections anymore. Seems like solving this problem would be a good place to start. The problem is that there are 25 rows of 13 chips each (all socketed), in very close proximity to one another. The chips are in sockets with wire-wrap pins underneath -- the underside of the main CPU board is a maze of wire wrapping. Most of the chips have date stamps between 1971 and 1973, but luckily most of them aren't corroded to the point where they're falling apart. How would you suggest cleaning the sockets and the chips to ensure good connections?