In my opinion, you have three options for your blog. There is Blogger, WordPress.org and self-hosted WordPress. If you plan on running advertisements on your site, WordPress.org is not an option for you.
I started on Blogger and later moved to self-hosted WordPress. Many people will tell you not to start on Blogger and to go straight to self-hosted. Here is why I disagree. First, Blogger is free. If you decide not to blog long-term, you havent lost any money. Second, Blogger will guide you as you set up your first site. There are numerous built in design options and site configurations. Finally, Blogger is super easy to figure out. You dont have to be a techie to learn how to use Blogger.
Once you start blogging and decide you want to stick with it, you can then decide to make a financial investment and pursue self-hosted WordPress.