That's great Veronica!! Would it help to think about pushing your butt back even before your knees bend Although it feeld a bit strange, it keeps back,hips and knees in a straight line and generally allows us to get abit lower. No criticism on my end, but as a PT that's generally how we would teach people...
I think it's great what you're doing, and can only imagine how much of this will translate over to your bike and your every day activities.
Keep up the good work!!