Alright, this is like any other shimmy--you can break it down to the nth degree, but ultimately, you gotta just DO it , relax and go for it.

So first let's break down the timing.

The accent in this move sounds like this:
and-a-DOWN and-a-DOWN and-a-DOWN
Where the DOWN is your beats in the music so it would be
and-a-ONE and-a-TWO and-a-THREE

With me so far?

Starting on your right side, let's do this:
Tap the right hip down
Lift the hip up
Step forward and drop the hip down and forward

Repeat left side
Down
Up
DOWN

Down
Up
Down

This is the Hagallah shimmy, or what we call the articulated shimmy. It is am uber broken-down bicycle shimmy.

When you speed it up, it becomes the shimmy you saw in the video posted above. The accent is on the THIRD movement. It corresponds with triples on your zills.
1-2-*3* 1-2-*3* 1-2-*3* 1-2-*3*
or as I say in class
da-da-DA da-da-DA da-da-DA

Does this help?

As I said, you really have to try it and learn to let things shake. It is the balance between control and letting go that makes a shimmy really successful!

Keep me posted!