Great Pyrenees are a heavily coated breed and they do shed. A thorough brushing once a week will help with the problem of hair all over the house, but when a Pyr “blows” coat look out. Once your pet is spayed or neutered there tends to be less fur around – but more on the dog which requires a more regular grooming schedule. If hair around the house bothers you, then a Pyr is not for you.