An looking some site with the same address in address bar no no matter the page in the site we surf..ej

www.thesite.com always in the address bar when you surf entire site.

Why would you want to do that? Say people want to bookmark your pages, they won't very useful if it only bookmarks thesite.com.

your registrar might provide you url making ability
you can activate it in your domain control panel

not all registrar do that

How about building it in frames?
Have one frame at the top (barely showing), while you're using the main frame to view the websites.
It's a messy way of doing it, but it certainly works!

Good luck!

You could use Iframes, rather. Those usually work better. But I still stick to what I said earlier.