Jerusalem artichokes are serious business, but chickens love the shoots and roasted tubers (which you can eat too). They contain inulin, a sugar that boosts calcium absorption and might make their egg shells stronger.
Chicken coop hack: Use a utility knife to cut the big part of the lid of a 35 lb box of Tidy Cats. Chuck some bedding in that bad boy and you're ready to rock! My hens love it, including my big fat New Hampshire Red.