First off, this build is amazing! Congrats on the progress.
Just thought I'd toss out a couple of quick tips for working with fur to cut down on the frustration of the pile (having built more Santa suits than I care to think about): cut from the back of the fur with a razor blade rather than scissors -it cuts down on the flying fuzz factor; then, take scissors and trim the pile down in the seam allowances. Just take the scissors and cut the pile almost to the backing all along the edges the width of the allowance. When you sew, go slowly and sweep the pile out of the seam allowance with your fingers as you go.
This will reduce bulk in the seams, give the fur a nice spread on the edges of the finished piece and will save you having to pull the pile out of the seams (which, as you mentioned, damages the fabric as well as takes a lot of time to get it even).
Cheers!