Quick answer: Warm-season grass (Bermuda, Zoysia, Centipede, St. Augustine) is waking up from dormancy, greening up unevenly through March and April. Don't fertilize it until it's actually green and growing on its own. Tall Fescue is in one of its two active growth windows and can be mowed and fed on a normal schedule. Spring is also pre-emergent herbicide season for anyone dealing with summer weeds like crabgrass.
Two grasses, two different springs
Spring looks completely different depending on what's growing in the yard. Warm-season grass is coming out of a four-to-five month dormant stretch and needs to prove it's actually growing before you feed it. Fescue never went dormant, it just slowed down over winter, and picks back up its normal growth rate as temperatures warm.