For those who don't want to wait for my series, here's a fairly nice video showing the installation process for Ubuntu Linux using the Live CD. This video shows each step of the installation process, but only for a very basic installation. It doesn't discuss partitioning your drive properly, barely touches on using or customizing Ubuntu once it's installed, and certainly doesn't provide any information about some of the more common issues you might encounter, such as installing drivers for unusual video or wireless cards. However, it does an excellent job of demonstrating how simple installing Linux can be.
Since that video also doesn't show off any of Gutsy Gibbon's nicer desktop effects, for those of you who like the slick appearance and graphical features of Vista and Leopard I made this short video of my desktop. (I had to severely reduce the resolution of my screen to get smooth video capture, so what you're seeing doesn't come close to conveying how slick Ubuntu looks on my system. I'm still playing around with my screen capture software, so hopefully my future videos will look better.)
[EDIT: Videos moved to the "Tech" playlist of the Video Player.]