A collaborative social publishing engine
Known allows any number of users to post to a shared site with blog posts, status updates, photographs, and more.
Its robust open source framework can be used to build fully-fledged community sites, or a blog for a single user. It's up to you.
Really cool personal website builder that can connect to the Indie Web.
This is going to be one of the first places I recommend and start with for people starting out in the Indie Web scene. If I hadn't been building my website for such a while —hah, sunk cost fallacy?—I'd explore this out.