Hi Dana Hill, welcome to SitePoint!
Forget Blogger, go for WordPress. It's the best system out there by a mile. They have a simple "5 minute" install--it's very easy to install one of their default themes. And it's very easy to place the blog in a folder of your site too, rather than making it the home page.
Feel free to ask more questions, but be aware that there's a dedicated WordPress forum here too.
Trust me, WordPress is the way to go. It's one of the best bits of software on earth, and is the most used blogging software.