The way the roof of the coop yard is designed, the local small birds can fly in and out. I have seen lots of these smaller birds come into the chickens' space to drink from their water bowl or snap up a bit of seed or bird feed.
One of our favorites is the cardinal. We love their color and their personalities - both the males and females. We often use cardinals to represent our home.
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We're fond of all of the local birds and make sure to keep shrubs for them to hide and nest in, as well as keeping the bird feeders filled all winter long. Because of this we get all kinds of blue jays, robins, doves, chickadees, finches and woodpeckers. Many of them have become used to us and don't fly off when I am sitting outside letting the chickens free range.
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Some things you can do to support local birds are to provide cover (shrubs and trees), water and keep your cats indoors. Not only is this better and safer for your kitty, but it will prevent many of these birds from getting killed.