I compost all grass clippings. I use a push mower with a bag and empty it as needed. The bulk of the yard is mowed with a riding JD, I mow in a pattern to consolidate the cut grass into strips, then rake it into wheeled trash bins and dump it into a homemade composter. Wetting it and covering it with a thin layer of compost and dirt really accelerates breaking the clippings down into usuable compost.
We compost grass clippings, leaves, edging and hedge trimmings and some kitchen refuse, i.e. eggshells, vegetables. No fats or proteins unless it's vegan.