Quick answer: Centipede wants low fertilizer, low mowing frequency, and does well in the Piedmont's naturally acidic, sandy-clay soil where other grasses need constant feeding to stay green. Mow at 1 to 1.5 inches, water lightly, and go easy on nitrogen. Overfeeding is the single most common way people damage a Centipede lawn. The tradeoff is durability: it doesn't take heavy foot traffic well and recovers slowly from damage.
Why it's called "lazy man's grass"
Centipede earned the nickname honestly. It naturally grows slower and lower than Bermuda or Zoysia, which means less mowing. It's naturally suited to acidic soil (the same soil that frustrates people trying to grow a lush Bermuda lawn without constant lime and fertilizer), so it needs far less feeding to look decent. For a yard that's more looked at than walked on, it's close to a set-it-and-forget-it grass, as long as you resist the urge to treat it like a high-input lawn.