On an old property I once had a quince hedge. It was maybe 6' tall. The chickens loved it. They ate the leaves and fruit alike, and rummaged the leaf litter for bugs. It was good cover for them. They also love mulberry, leaves and all, but that might be bigger than you want.
I'd look for something that gets the size you want, doesn't seed/spread like crazy, and produces edible leaves and/or fruit. Any and all berry bushes of the culinary varieties will work, too. Blues and black, or a raspberry stand would work. Jerusalem artichokes work well if you want something
perennial. They'll eat the leaves and young shoots, and also pick at the
roots if they manage to dig them up.