WordPress has 2 variants, WordPress.com (supported by ads) which lets you get started with a new and free WordPress-based blog in seconds, but varies in several ways and is less flexible than the WordPress.org, which you can download and install on your server, but to do this you need to have a webhosting service in the first place and the host should meet the minimum requirements. If your main aim is just to write, then WordPress.com is a great tool for you, but if you're planning for something bigger with more possibilities
Prior to WordPress 3.0, WordPress supported one blog per installation, although multiple concurrent copies may be run from different directories if configured to use separate database tables. WordPress Multi-User (WordPress MU, or WPMU) was a fork of WordPress created to allow multiple blogs to exist within one installation, but is able to be administered by a centralized maintainer. WordPress MU makes it possible for those with websites to host their own blogging communities, as well as control and moderate all the blogs from a single dashboard. That means on a single installation you can enable your own blogging network or you can use this single installation for your eCommerce website and for your blog also for your business. WordPress MU adds eight new data tables for each blog.

