I use a piece of welded-wire, 4'x12' that the last owner of the house left behind. I pull it into a ring and hook it to itself, makes about a 4' circle. Great for composting leaves, layered with henhouse litter or grass clippings. Smaller mesh would work better for just the litter, to keep the fines contained.
Composting bins don't need to be complicated or fancy. I have a plastic bin with a lid that a friend gave me, and it's okay bit kinda small. Looks nice, and probably cost a lot.
I've also composted in 10 gallon black tubs that trees come in (dumpster salvage) and they work okay, but worms don't find their way in. Works pretty well for quick hot batches of stuff that then gets added to another compost pile later, or for letting mower-shredded fall leaves pre-rot over winter. Not much air, though, so things get anaerobic and stinky.
I've seen three-sided (open front) bins made with pallets.