I went to a worshop for model making and ending up making a wire frame reindeer.

twisting wire for the skeleton, cover the wire in sponge and then cut to shape the body, roughly.  The golden brown fabric I already had but the furr I found on a winter hat in a charity shop. The fabric I either stitched or glued to the sponge. If parts of the body needing filling out, I just used teady bear stuffing for that. 

For the jaw I just attached another piece of twisted wire to the top jaw, covered in fabric and added a tongue