I made a couple of these when I was young. They were really simple. A rectangle of fabric as long as the door and as wide as the required circumference, plus allowances made the body. The muzzle was simply a tapering from the top of the forehead to about two thirds of the finished height, at which point the seam is pivoted to the floor. I can't remember the tail end but quite likely it was a circle of fabric the size to fit the diameter of the body. The legs lay along the body and were just tubes of fabric stuffed and stitched by hand. The tail was an elongated cone, similarly stuffed and stitched to the top of the back right where a tail should be. The nose was a black button. The eyes were felt (but could be googly stitch-ons) and the whiskers were yarn or string stitched to the side of the nose. Ears were teardrop-shaped with flat tops (cut four and stitch each pair right sides together then turn), hand stitched in an appropriate location.
They were stuffed with old tights, fabric cut-offs or whatever was to hand. I remember doing one in a brown boucle and the other in red needlecord.