First, you need to decide if you want WordPress to host your blog or if you want the control and flexibility that comes with hosting your wordpress blog on your own website.
If you want Wordpress to do it, it is as easy as signing up on Wordpress.com
If you want to do it on your web site, check with your web host company. Many companies use Fantastico via cpanel that makes your installation not much more involved than filling out a form and pushing some button.
If your web host doesn’t have an easy install WP option, you can do a manual install with FTP, the links and information are at http://wordpress.org/download/
If that is too geeky for you, you can use http://install4free.wordpress.net/. I have students that swear by them.
If you have any questions, let me know or you can check out my blog at http://lvsonline.com/online-blogging-classes/blogging-basics-course/
Good luck!
