Don't do a whole lot myself.
About the only maintenance I do with any regularity is lube and adjust chain-tension, and I usually turn the tire 1/3 or so of a turn when I re-tension the chain (Helps lessen flat/bare spots that result from skidding/skipping.). Other than that, and checking tire pressure once or twice a week there's not a whole lot to do to maintain a fixie. That's one of the reasons they make such good commuters

.
I've recently switched from Pro Gold, to a dry lube. Hoping that will pick up less grime, so I'll have to clean the chain less often.
-Trevor