Wow, big yard!Our lawn is so large we don’t even bag it.
We live on 40 acres. Probably about 1-2acres of mowing we do the rest is deep woods.
We have 1/3 acre. When our riding mower died about 3 years ago I replaced it with a power mower (push) with a bag. I have a huge compost pile of grass/weed/leaf clippings that has turned into humus. I've been raking the dry stuff off the top and using it as litter in my 16'x8'x6'h hoop coop. So far it's working well, and the hens LOVE scratching through the debris.