How do I turn this into a proper hockey stop?

Hi all. So in doing a LTP and I’m also in skating lessons. Hockey stops are technically a level 4 skill (I’m in level 2) but I’m trying to learn them sooner since being able to stop quickly, as I’ve learned, is a pretty good skill to have.

So, what do I need to do/change to turn this to a proper hockey stop? Is it a mortal sin that I’m kind of doing a single foot snowplow then rotating into it (as opposed to both feet going sideways at the same time)? What about the choppy-ness?

Thanks in advance for any and all advice.