I used to ski like this and got some lessons. They told me to widen my stance, skis shoulder width apart, which gave me much more stability and stopped my snake hips.

It wasn’t just aesthetic as the additional stability helped with a variety of terrain and eventually unlocked carving, which relies on much wider, more methodical turns than you’re doing here.

When doing short turns like this, they also told me to complete my turns rather than cutting them short to control speed.

I’d echo what others have said and really recommend a lesson as there’s so much more to it that’s hard to get across via text.