You means, you need a domain name in your own name? You have to contact any web domain registry ISP who can create a domain for you by a specific amount.
best thing look alexa you own area and find out the cheapest to give you the hosting and domain package, also you can buy domain separate and hosting separate.
There are many companies that provide free domain and hosting services online.Try uploading a sample website files and have them running. Once satisfied pay for hosting/domain services.
You will need a domain name and a web hosting service.
A domain name is your piece of internet real estate.
Web Hosting gives you the space, email accounts @yourdomain etc.
There is a I explain about this at http://www.pickaweb.co.uk/blog/what-is-a-domain-name/
Hope it helps.
You neeed to buy the domain and it means you also need to buy a reliable hosting in case you want to make it live. You got two choices, either you will buy parked domains or create something you like.