I am not familiar with 'Linux Linus Lite', however, many linux distributions will work on a variety of laptops.
If you'd like to get your feet wet, but your hands not too dirty, then I would recommend a Live Distro to see how things will run.
Ubuntu offers their distribution as a Live CD (you can boot off the CD and run many things without installing). That will give you an indication if a) linux is right for you, and b) if that laptop is 'widely' supported with Linux itself. If you like what that does, then you can use the Live CD and install it to your drive.
If there is space available (unallocated) then you could dual-boot XP and whatever linux/UNIX you choose.
If you wanted to really learn UNIX then I would say get yourself a copy of FreeBSD (or maybe slackware Linux) and see what you can do with it.
If you want to see how someone can really take a good thing (Linux) and screw it up, try any of the Red Hat stuff.