You might have picked the better option as I'm not sure the bearings they provide are the best quality. If I were to order again I would skip the headset and the seatpost too. I'd also get a 707 but that's another story.
The one you posted is for mountain bikes as it has a star nut only usable in alloy(steel?) steerers, not for carbon
You need something with no external cups as bearings just sit inside the frame, no external cups but an expandable plug
The 696 sizes are 1 1/8th 1 1/2 inches. Translated from barbarian that should be these:
https://aliexpress.com/item/1005007181089579.html HS-001
Can't vouch for the quality of these, and if you are running more than a cm of spacers you should replace the expander plug with a longer one like 50mm
Best cross check with Adam though, bearings are a nightmare to navigate