facial hair
A technique I've used with success for eyebrows and moustaches is this.
I run hot glue where I want the facial hair, then I quickly put a piece of fake-fur (fur side down) on the glue. After it cools, I trim the backing off the fur, and trim the glued-down hairs to the appropriate length and shape.
Of course, you'll want to practice on scrap fabric before you actually try it on your puppet's face....
Does any of this make sense?
Pat