We always just buy it skinless instead of taking off the skin after buying it. None of us here like the skin on chicken unless it is fried. We don't like it because it gets slimy if baked and normally gets burnt if on the grill.
No, I don't peel the skin. I eat anything edible that is chicken part. Unless you have some health conditions such as probably someone who has just gotten stroke then don't eat chicken skin because it is true that it is fatty