Do I asked of domain name registration and as such like payment to run my own design webpage/site, browser/program application?

Question

Web design and running

Answer 1

Thank you all

Answer 2

If you want you can also get a hosted server on the cloud in a website like cloud 9, heroku etc.
In heroku you can have a sandbox for free, which is really useful ;)

After you buy a domain name you can attach it to you hosted server, otherwise you get a free random name from the service provider.

Answer 3

You can also check github hosting, for many people it is a very easy choice