Sorry to hear that Lori. -hugs-
I can't add a whole lot on the actual sewing part of making one of these beds but I can comment on the fur. I've made a few fursuits (animal costumes essentially) and the fur you use is one of the most important parts. I would recommend Mendel's punky muppet fur, I've loved working with it. Here's a link.
MENDEL'S - LONGER FAKE FURS!
This is what it looks like on a costume. I assume it would make a nice bed too, it is quite soft.
I tried to use cheap fur once. Never again. I shelled out a lot for enough fur to make this suit but it is very soft, lovely and really makes the look. The cheap fur looks and feels cheap, is almost see through on the backing (although all white is sort of that way, I fixed it by using white foam this time rather than green) and it is hard to work with. It also wears out fast.
This stuff I am hoping will last forever and keep my suit pretty for a long time.