Consultation on softbody / armature / anim job for existing model... Take me the rest of the way!

I need someone experienced in combining soft body physics on my mesh with armature to recreate the following GIF:

I have intermediate experience in Blender 2.79, having made animated models before. I have created the mesh, armature, and used a soft body modifier, and beginning anim for this model, but I can't get it to move like in the GIF.

What you will do: teach me over a shared screen how to recreate the movement of this GIF "cat"-like creature and demonstrate a successful animation.