Your 'my PCs' link isn't working, are any of your machines virtualization grade?
I became familiar with virtualization simply by using it and reading about specific aspects as I came up with questions.
Oracle virtualbox can get you started for free:
http://www.virtualbox.org/
If you're looking at client side virtualization, and your CPU is a VT-x enabled, I'd suggest outfitting your home desktop with 8GB of ram and jumping right in.
If your ultimate goal is server side virtualization, see about craigslisting a surplused HP DL360 G5 or a Dell PE1950 so you can play with the generous and free ESXi 4.1
Chances are you'd be gaining experience with a newer version of the hypervisor than your admins are even using at work.