I feel like Sherlock Holmes. Working from an image of the names in Chinese (below), a (somewhat loosely translated) English list, the voiceover of a video, Google translate, and the MDBG online dictionary (which allows me to draw a character if I can get the order of the brushstrokes right), I have arrived at a list of the first eight moves.

Section 1:

1. 起勢 Qǐ Shì:  Commencing form
2. 懒扎衣 Lǎn Zā Yī: Lazily Tying the Robe
3. 丹凤朝阳 Dān Fèng Cháoyáng: Red Phoenix Greets the Sun
4. 推波助澜  Tuī  Bō Zhù Lán: Push the Waves Even Higher
5. 飞雁斜落  Fēi Yàn Xié Luò: Wild Goose Swoops Down
6. 转身打虎  Zhuǎn Shēn Dǎ Hǔ: Turn Around Hit the Tiger
7. 叶底采莲 Yè Dǐ Cǎi Lián: Pluck the Lotus Leaf
8. 孔雀开屏 Kǒngquè kāipíng: Peacock Spreads its Tail

I was puzzling over the meaning of lanzayi. You would tie up a long robe to prepare for a fight. The laziness in this case might have the sense of casualness. Unhurried. Like, confident and unafraid. Maybe even to preserve an element of surprise.

Interesting: Tui Bo Zhu Lan, Push the Waves Even Higher, is a saying that means something like the English “Add fuel to the fire.”

Anyway, here are grabs of these first eight moves, from this video:

1.  2. 3.  4. 5. 6. 7. 8.