broadKast.me gives you a nice sub domain like myname.broadkast.me for each site you create, optionally you have a possibility to use your own custom domain name (Ex: www.myname.com) instead of broadKast.me by mapping your custom domain to your site.

Step by step guide to use your own domain name

1. First, you need to make sure that you own a domain, if you already own a domain then skip this step; otherwise go ahead and buy one domain name if you like. There are various domain registrars out there from where you can buy your very own name.
Here is a small list of domain registrars: godaddy, name cheap, Yahoo etc. (Note: its only an example list, not a recommendation)

2. Ok, so (now) you own a domain. The next step is to add a mapping in your broadKast.me site to this domain:
(a) Login to your broadKast.me site

(b) From the site list select “Administer this site” which will take you to the dashboard

c) Now select Settings -> Domain Mapping from the left side menu on the dashboard.

(d) You should see a screen like the following: Add your domain name under “Add new domain” and press Add button.

3. Now, you need to point your CNAME or A record to your site. These setting are available in DNS and should be available from your domain registrar (see step 1.). The easiest way is to change your domain CNAME to mysite.broadkast.me (replace mysite with your site name on broadKast.me) or you can also change your A record to point to an IP as specified in step 2. (c)

You are all done. You should be able to access your site from your very own domain name, please note that this may take from anywhere between 1 and 24 hours depending on your registrar.