Sanda,
One thing you could do is do a redirect from one registered domain to another. You usually can get away with the cheapest hosting program for the redirect from site.
That would be the least expensive route for you to take. Some of the "free" hosting services will let you redirect, but you are required to allow the "customer" to stay on the page for at least 10 seconds. Some do this and don't have any limits, you can do this with HTML code and the customer won't even know they have been redirected.
HTH
Paul
