How do I change the title/url name on my site

Hi, before I purchased the domain name for the site I am building drupal for, I had started building it in my personal domain server. So now that I finally have the right server/host, I just uploaded my files through mysql. After I installed it, the url name/title from my personal site appears on the browser. How can I change it to the name of my new url/domain name without having to delete the database? How can I edit it?

Thanks

Anna