If you'd like to transfer your own domain name, you are more than welcome to do so as well during the setup process. You must first direct your own domain to the Weebly servers.
For more information on how to use a domain you own for your new weebly website, click here.
If you didn't have your domain set during the setup process, no problem! Just follow the instructions above and contact our support team with your new domain. We will do the transfer for you.