Quick answer: Summer is peak growing season for Bermuda, Zoysia, Centipede, and St. Augustine, mowing most often, watering deeply about an inch a week, and watching for heat and drought stress. For Tall Fescue, summer is the hardest stretch of the year, raise the mowing height, water it through, and avoid anything that adds extra stress until fall arrives.
The busy season for one grass, the hard season for the other
This is the clearest split in the whole calendar. Warm-season grass is doing the most growing it will do all year. Fescue is just trying to make it to fall without going patchy.