This video shows me how to add the depth to the animation and make it more interesting.
Step One: Add Two Position Key Frames to the thing you want to shake
Step Two: Windows>Wiggler
Step Three: Select BOTH Key Frames
Step Four: “Noise Type > Wiggle” / Change “Frequency” and “Magnitude” til they work.
Because there will be a lot of elements with added shake, I need to select “Dimensions > All The Same” so that the eyes (for example) won’t be rattling around in the head.