Try Kubuntu. It is a KDE-based version of Ubuntu, which is based off of debian linux.
Ubuntu is nice because it is designed to handle a lot of driver loading automatically. You can get familiar with the graphical desktop, handling package managers and get started playing with the terminal.
The downside about this approach is that you do not really get a chance to be exposed to what Linux really is. A kernel. A lot of people associate a desktop, window manager, shell etc. with Linux. And take what the prepackaged distros have to offer without understanding the layers of services that are being used to provide them with that functionality.
I would suggest you try something like Gentoo or linux from scratch - there are a lot of guides out there and you can be exposed to linux a lot more... Of course, it may take you week(s) to get something working.. And even longer getting your system stable... And even longer having to re-install your system from botching something up with a poorly thought sudo. But you will ultimately understand linux better than just installing Ubuntu and playing with the graphical desktop.