Is this even possible? I will never use like 90% of them and I'd like to hide them.
How to delete icons from the 6th generation iPod nano
ipodipod-nano
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How did you ad the video? iTunes won't let you add videos to a 6th gen nano.
One thought: is it a music video? Those you would probably have to remove via the Music tab.
Edit: after trying with my own nano: if you send a music video to the iPod, it will be sent and show up as a video in the bar graph.
You can! When your iPod is connected to iTunes, it should appear in the sidebar. Select it, and make sure 
is checked.
Now, create a playlist with the + button at the bottom right of the window, and name it what you will. Simply drag the songs you want the playlist to contain over to the sidebar, and drop them in!
When you've finished, be sure to press the ⏏ button to the right of the iPod's name before you disconnect the cable.
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Update: With the new update from Apple (v1.2), it is now possible to remove icons that you don't use, and to change the size of the icons. Under Settings->General->Home Screen you can show/hide individual icons.
I don't believe that you can delete the icons. You can rearrange them. I moved the ones I'm not interested in to the last screens so they are mostly out of the way.The User Guide explains how to do this.