The major player in the blog game is WordPress, a content management system (CMS) that powers millions of websites, including The New York Times, Quartz, and Variety. WordPress-powered sites are incredibly easy to set up, customize, and update—ideally on a daily basis. You aren't required to learn fancy-schmancy FTP tricks (though you can certainly use them if you like), and there are ridiculous numbers of free and paid WordPress themes and WordPress plug-ins to give your website a pretty face and vastly expanded functionality. Though WordPress dominates the blogging space, it isn't the only blogging CMS of note, however.
Your website needs a place to live on the web, and the quickest way to reserve your web address is to find a web host. There are a variety of cheap web hosting providers, and each one has a specialty. Look for a web host that offers a price that fits your budget, has the web tools you need to create your envisioned website, and provides support when you need help or have problems.