If you think you might get serious about blogging, be sure to at least consider Wordpress. You can get familiar with it by using the free, cloud-based Wordpress.com. If you like it, you might consider switching to Wordpress.org, where you can get your own domain name (without the 'Wordpress'), but will likely need to pay for site hosting.
One of the granddaddy blogging platforms, Blogger features an easy to use interface as well as themes with plenty of options for customizing. Now owned by Google, if you have a Gmail account, you can start a blog at the click of a couple of buttons.
Popular with young folk especially, tumblr has been desribed as a microblog and a hybrid social media / blogging platform.
A new kid on the block, Medium is worth checking out if you're feeling a bit adventurous.
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