Here is the style of Tai Chi I’ve been practicing every Sunday in Tai Chi Class (YMCA).
It’s a bit advanced, since there are specific foot, leg, arm, and hand movements to this style of Tai Chi. Other options include movement of the entire body and head movements.
What I found even more challenging is that it’s best to keep low with knees bent throughout the form (this would be the more advanced version).
But, ultimately it should be flowing as in the video demonstration, and this is a more martial arts oriented style of Tai Chi, as opposed to more meditative styles.