I'm not even going to critique as I'm a beginner, but my trainer (who is an eventer and well known in my area and not only) made me jump with no reins spread hands (like in a video), one leg in stirrup, and no stirrups at all. Just like that: over and over till it goes smoothly. I also was asked to jump with closed eyes to feel and follow the horse. I think all those exercises definitely help to find you balance (or you are in trouble lol!).
I do think you both look very nice BTW! I wish my paint could do XC as well as you do! :)