First chose good domain name according to your topic of website. And then register for domain name with domain name registries. After registration design your website and get it ready for hosting. You have to pay per registration plus hosting. Search google for the word "Domain name Registration" and for "hosting services". You will find many.
goto www.powweb.com and shoot them a mail with your query. they shold handle you properly. www.hostgator.com - they are great people to work with too. Cheers!