If you host the videos on youtube then youtube will brand them for you. You could use another video hosting service, maybe there is one that is better than youtube. Or we could host the videos ourselves, and embed a free video player ourselves, such as flowplayer: http://flowplayer.org/
It is easily done, but how to integrate it with the Joomla system we currently use for the website, or the Drupal system milk is using for his new site, I don't know. You might have to look into video player plugins for these systems instead. But it's certainly possible. Not sure what hosting streaming video might do to our bandwidth.
I've had it with you. If I had an image of a laser gun I would absolutely position it right here in my hand...
Ha! I have a real laser absolutely positioned in my hand!