First, cut a sleeve as shown, with a "house top". Use the tip of the triangle as a pattern for the white pieces, as shown:
So there are: 2 ear pieces, 2 ear lining pieces, a tail piece, a tail tip piece, an inner mouth piece, and an outer mouth piece.
The first thing to do is to create a dart on either side of the head. Do this by folding the edge, pinning them, put your hand inside to see where to put them, and then stitch like so:
Next, sandwich the diamond shape piece between the baseball-field-shaped piece and the right side of the head, pinning the three layers together, ignoring the bottom of the mouth and stitching like this:
Trim the tip of the triangle straight across and turn inside out.
Now you have to stitch the top of the head and stuff it. The rounded side of the fabric fits against the back of the puppet. Pin it in a place that feels good, and stitch, leaving a hole. Stuff the head loosely and stitch closed. Here are pictures:
Look, he is starting to look like a fox! Turning, turning, and now pin the right sides of the mouth bottom together and stitch:
Now we need a rabbit puppet!