Give the fur a good combing and trim it as you see fit with a beard-trimmer or scissors to give the fur the appropriate density and any layering effect you want to impart.
Once you wet the fur with whatever glue or acrylic media you are using to fix it, comb it carefully to get it into position.
It ought to be simple enough to find a comb with the appropriate 'tooth' for what you want to achieve. I cut one end off of the comb I use in order to avoid the obvious mark that the final large tooth left behind. You might want to do the same.
Here is an example of thatch made with brown teddy bear fur on a few huts I've made for my 20mm Vietnam games: