how to modify a master page layout is described here, but it is not probably what you need:Page layouts
The same way as master page layout you can modify the layout of you Home page. You can add one additional zone to this template using fore example code:<cc1:CMSWebPartZone runat="server" id="zT" />
The id property has to be unique.
Then you could add a new web parts into this zone on your Home page and it would be visible only on this page.