Register Domains - Avoid making your web site's name community acquaintance till the time domain name has been registered in your name. Once you're ready to put your business online or establish a personal Web presence, you can build a Web site (or have one built for you) and publish it for the world to see When the domain name is first registered, your organization should be the owner of the domain name. Changing the owner of a domain name involves a "transfer" form that must be notarized by both parties, and some additional fees.á