Alternately, if your flock is small enough, you can make a large enough enclosure that their impact on the turf will be minimal... not to say that there won't be areas that they will dig up, because they will. they will dig their dust baths, and if they find a tasty spot, they will work that real well, as well as the area immediately in front of their coop. My 1600 s.f. electronet enclosure did not get stripped, with 5 girls. Double the poultry in that spot without moving the netting, and they'd strip it in one season.
If you have a run that will get stripped, you can do a deep mulch in it to preserve the integrity of the soil, as well as give the flock a job to do. They'll happily scratch in the litter for hours looking for bugs and tidbits. The litter will catch their valuable poo and hold the nutrients instead of letting it all soak into the soil, and run off, both creating an over nutrified issue that will be toxic to plant life over time.