i have heard they will eat the eggs. We have a lot of squirrels in our yard. But i keep them happy and away from the chicken pens by offering up baskets of peanuts every day. If i run out, i do see them sneaking up on the chicken pens.
I too have just discovered what I think is a squirrel problem. For the past week, the feeder has been empty every day when I go in. My coop has a cement floor and the run is dirt and today I discovered a tunnel from the outside under the cement floor into the dirt run. So far, no harm to the chickens or the eggs. So tomorrow I have to figure out how to fix this problem.
Just watch they don't poo in the feeder and your chickens are eating it.. Can get your Chicky's sick..
I hate the little critters myself, they are always after and in my turkey runs..I have a friend that comes here and takes them out for me.. He eats them and uses there fur for making fishing lures..Now this is only grays, i told him don't kill the reds as there are not many of them here..