Your MyWordpress blog comes with a free address like myblog.wprezz.com.  You can remove the .wprezz.com part and use your own custom domain like myblog.com or  myblog.oursite.com using domain mapping.

To set up custom domain mapping you need to:

  1. Purchase your own domain name.  Custom domains start from around $10 per year.
  2. Be able to access the DNS settings for your domain

Setting up your domain mapping

1.  Purchase your new domain.

2.  Log into your blog.

3.  Go to Tools > Domain Mapping

Domain mapping

4.  Enter your new domain under Custom domain and then click  Add.

5.   Log into your DNS control panel or send a support request to your registrar

6.  Configure your DNS records using the DNS configuration information on your domain mapping page.