Registering a domain name is very easy.
Visit https://www.thehosted.com/Support/domainchecker.php and first see if the domain name your intrested in is even available. If the domain name is avaible use the on-screen wizard to complete your domain name purchase. If the domain name is NOT avaiable you will need to select another domain name. Once your domain name has been ordered you will receive information via e-mail.