WordPress
The premier free blogging software, WordPress is a must if you are planning to have your own domain and host the domain via a hosting service. With a host of wonderful features and plugins to extend the software, the sky is the limit for bloggers using WordPress when it comes to functionality. Currently there are over thousands of free themes for WordPress and many of them are being developed as you are reading this. great-anonymous-albums.com is hosted using WordPress.
More on WordPress and how you can create your own blog, coming on this page.