Our entire yard is full of fur too! We used to put the shedded fur into the wrungs of the chain link fence at one of our other homes over the years. There's scores of birds nests all over the country lined in fur.
And yesterday I saw a huge crow come into the yard and fly out with a ton of fur in it's beak. At first I thought it was an animal; nope...it was Ruby's shedded fur.