Do you know how to save things off YouTube? I wasn't aware that you could.
I have no idea - hoping someone else does know how. I guess you could stream the video through a card and save it, sort of like how people here can do screen caps, but I only have a dialup connection, so I haven't played around much with internet video.
If you use Firefox as your browser you can do so:
Go to the Addons page and type "download video" in the "Find more Add-ons" search bar. Several extension will come up for you to choose from. Looking through them, I think DownloadHelper seems to be pretty good.
Finally, if you wish to view the videos from youtube or another service that embeds flash video (flv), you will want to get something that can play flv files such as VLC Player which is free.