Welcome to the forums!
Which distribution is right for you depends a lot on what you're looking to do with LINUX and your level of experience with *X type systems.
From what I've read here and elsewhere, the more user-friendly distributions are Mandrake and Red Hat. I believe those are the more popular with the majority of folks new to LINUX.
I just finished an install of Slackware which many consider less user-friendly as far as install goes. I found it to be fairly painless. Some of the "prep work" I did can be found in this thread:
My main suggestion is to read through the different posts here and check the sites for the various distributions and make a decision based on that.