How to rename "Home" title in the home page instead setting NOT to display "home"?

Hi All,

I just removed the "home" title from homepage following juggledad's comments in another thread. But there is a big "spacing" created between body and header, probably space left for the title? I found Flynn comments on some threads posted last year, and involved modifying index.php. Not sure whether it works for 3.5.3, because I didn't find the mentioned section in my index.php?

But my main issue is how to rename "home" title to something like "Welcome Home", so that I can still apply same formatting (color, background) to it as for all other the page/post titles.

http://isipservices.com/clients/nav/

Would appreciate your hint. Thanks!
Arun