Install all in one seo and go to the setting page. You can specify the home page title in there.

What content do you want on this separate page called 'Home'? Your posts? or any other content?

You'll find an option in the Wordpress Dashboard Settings called "Reading".

There you'll most likely have the options you're looking for. Sounds to me like you would want to set the "Front Page displays" Setting to "Your latest posts"

All-in-one seo is a great plugin... and it WILL change the 'title' of the page, but Steve wants even the "Home" page to point to his main domain name, and I believe he can do that via the "Readings" settings.
Let us know if it worked, Steve!

Thank you guys so much. All I had to do was go to Settings:Reading: select front page settings and select where I wanted my posts to appear on. I appreciate the help!