/diy/ - Do It Yourself

Quick question, not sure if this is the right place for it.
I'm making a shitty puppet thing and the head is giving me trouble. At first it was connected to two points- one to the body at the bottom, and one to a wire connected to my thumb at the top. But it just flopped around no matter what I did.
Then I connected another wire to my thumb and the anchor point where it connects to the body. That helped a little, but it still flops around a lot and I can't get near the control I want.
Does anyone know how I should set it up where I can make it move controllably on all three axes?