Here's a list of popular blogging software and sites:
Blog Publishing Platforms
Blog.com - Fully-featured free platform
Wordpress - requires your own server, but simple to implement through a service such as Go Daddy. Doubles as a great content manager.
Typepad - For a small fee get a fully featured, fully supported blog and web platform (host of this blog)
Keeping Track of Blogs
Feedly: According to Seth Godin, reading more blogs is one of the best ways to become smarter, more effective and more engaged in what's going on. This tool can help you keep track.