I've been feeding chipmunks and red squirrels peanuts and sunflower seeds in my backyard for many years. The red squirrels sometimes chase the chipmunks, but mostly they avoid each other and the chipmunks haven't gotten hurt. Today for the first time, a much larger gray squirrel appeared in my yard to get some food and water and it looks like it will stick around. There hasn't been any trouble so far, but I'm worried about the chipmunks getting hurt because the gray squirrels are so big. Does anyone else have all of these animals in their yards and can they get along without too much fighting?

Unless there was a critical issue happening I wouldn't really worry about it. If there is drought then put more water out in various areas. That way they have some space. Other then that there really isn't competition going on.