You've got some great things going for you. I tried reading the other posts to see what has already been suggested. Here are my thoughts.
First, slow down a bit. Speed often help us to "cheat" our way. Your definitely young and confident, but if you are really interested in improving back down a gear or two and start working those ski more across the fall line.
Your first couple of turns there was a definite one-two move. Kind of surprised no one picked up on that. What I mean by one-two is one ski moves then the other. Once you got momentum that went away, mostly due to the momentum. Usually when we someone with a one-two it is a clear indication that they are not rolling the feet together. Find a gentle, wide piece of terrain and work on some patience turns. Slowly move across then along the ski. See if you can spend as much time going across the fall-line as you do going down the fall-line. That will lend itself to a rounder shape. I like four-five counts, but find what feels best for you.
I also noticed that it appears you are pushing you inside foot forward. You want to pull that back under you to be better in touch with both skis. think of trying to pull the toes of your inside foot up through the top of your boot towards your knee. In technical terms that is called dorsiflexion. I like to think of it like I'm driving a standard (sorry if you don't get the reference, ask dad), as I push down on the gas (outside foot) I back off the clutch (inside foot). I want it to be in a very smooth motion so I don't jump the car (you).
It also looks like you settle your hips behind your feet. Part of that comes from pushing the inside foot forward, some of that comes from staying too in the fall-line. You want to keep your center of mass (somewhere near your belly-button) over your feet and moving along the ski into the new turn. Your legs should turn more than your hips.
Try out the stuff suggested here then have dad shoot some more video for us to see. Have him stand in one spot while you ski to-by-away from the camera so we can see all angles.
One more thing... Keep it fun.