[Andy R]

I'm pretty sure there should be no lateral hip movement in the backswing.

While maintaining a stationary head, in startup your right hip turns behind you, clearing the way for the hands (clear your right hip slightly at address if you're a hitter).

On the downswing your hips slide laterally (only) an inch or so, altering your spine angle, which allows your hands (and right shoulder) to work down plane. The Downstroke waggle is your friend here (3-F-5). Check it out!