Have you looked at
Wordpress.com, which I believe still offers free Wordpress hosting? May be a good place to get started.
Most web hosting sites these day offer one-click installers for apps such as Wordpress. However, you will still need to know how to keep it patched with security and code base updates. Don't assume the web host automatically does these or ignore doing so, as a vulnerability can result in hackers gaining control of your site. Not to mention, losing years of your work. It has happened with Wordpress before. And other major CMS based sites.
Also, making routine backups of your code base/database - very important? Which I would highly recommend you download copies locally should the host cease operations. Or suffer a major failure, to where they cannot restore their server backup snapshots? Which will at least allow you to move the entire site and content to another host.
