I have maybe 8or 10 lawns out of hundreds that have "some" Centipede in the existing lawn. I do not treat any Centipede lawns so to speak. My main concern is not killing what the customer has as "part" of their lawn.
I usually use a higher nitrogen lower potassium granular fertilizer at a very low rate and spot spray weeds with herbicides I know are safe for use in Centipede. Our soils are acidic here so that is generally not a big concern. With so little to treat, and in scattered patches like it is, I can't really justify a "special" program just for centipede.
It seems like(at least with what I deal with here) Centipede almost does as well with almost nothing done with/to it as it does with constant attention. That's been my experience with it anyway...
"The Poor Fish" circa 1930's: The Poor Fish wouldn't have been caught if he'd known enough to keep his fool mouth shut.
"Opportunity is missed by most because it is dressed in overalls and looks like work"- Thomas Edison, businessman/inventor