I love the little blighters but they will dig up my lawn looking for their nuts! The worst of it is when they don't find the nuts they've buried and I get trees growing in places I'd rather not have trees!
My wife likes to feed the birds. She has several bird feeders and keeps them filled all year long. It's funny when she looks out and sees a squirrel eating from one. She flies out the door with a broom to chase them away. We keep corn out for the squirrels and there's a corn field close, but they seem to like the bird food now and then.
I'm lucky to live in the prairie lands because we don't have a lot of trees. I've seen squirrels, but never heard of anyone having issues with their lawn because of it. Rabbits, that's a whole other story!
Squirrels aren't the problem here - we have two dogs and they keep the squirrels away. Unfortunately, one of them is also a digger, so we have to deal with THOSE holes!