Do you want instructions on how to buy a domain name, or are you looking for advice on web hosts?
It sounds like you want to at least purchase a domain name. Once you have a domain name, there are a few options. You can go with a hosting provider and set up an account with the domain name pointing to it, or you could continue with your current hosting setup (presumably) and pay a small fee to your registrar to redirect to a different URL for you.
If everything is OK with the site you are at, and you just want a different URL for advertising, it might be easiest to stay where you are and pay for a redirect on the domain name that you purchase. Hosting solutions will provide you with more space and more flexibility, but if you just want to run a blog then this might be overkill.
Willful ignorance of science is not commendable. Refusing to learn the difference between a credible source and a shill is criminally stupid.
Anyone know whether the new Miniputt game is beatable? I got a perfect score (18) in Miniputt 1, but so far have not been able to break 27 in the 2nd incarnation of this clever little flash game, which can be found at http://www.addictinggames.