I really want to get an attachment for the mower that will sweep them up, but I haven't gotten around to it yet.
I have one of those leaf sweeper attachments for the riding mower. I rarely use it. I prefer to just use the grass collection bags on my riding mower. The mower chops up the leaves a little bit, maybe 2:1 or 3:1, and that is good. The problem I have with my leaf sweeper is that it fills up fast, does not chop up the leaves at all, and I still have to dump those leaves into a container and then move them to where I want. So, I just use my grass collection bins on my mower, vac up a load of leaves, and then drive the mower to the chicken run and dump the leaves.
If I really want to chop up the leaves, then I run them over with my old riding mower with the mulching kit. That chops them up into pretty small pieces. Then I go back over that area with my other riding mower and vac up the pieces into the grass collection bins. That process takes twice as long, of course, but the leaves are really shredded up into tiny pieces, like maybe 20:1. If your goal is faster leaf composting, that is a better way to do it.
However, since I dump the leaves in my chicken run, I usually just mow them once and dump the bins in the run. The chickens love playing in the leaves and over time, they break down the leaves by themselves.
I am looking into building a much larger tow behind the mower holding bin for leaves this year. That would require a large hose to attach to the grass collection chute and shoot all the leaves into a dump cart with extended sides. The advantage of that would be that I could mow up maybe 5X as many leaves before I had to empty the cart.
Cub Cadet sells the complete system, but I have everything I need other than the hose itself. So if I can buy just the hose, I think I could make my own leaf collection system.
Anyway, I would recommend other options over the leaf sweeper that I have.
After thought edit: I have 3 acres of property with lots of trees, and leaves. To maintain the property, I have 3 riding mowers, 3 push mowers, and a number of grass trimmers. All my mowers are set up for different functions, so I have one mower for mulching, one for grass collection, and one for pulling my dump carts. The push mowers are setup up for mulching, regular mowing with grass collector, and one for dethatching. And my trimmers have different attachments for tilling, trimming, or brush cutting. Point is, I don't expect many people living in a residential area may need that much equipment and my recommendation on not using the leaf sweeper is just based on the amount of leaves I have each fall. If I had a smaller property with less leaves, then the leaf sweeper might be a more viable option.