Tumblr is home to many game developers, but interacting with other people is... quirky, as you might have heard. Twitter is good for getting to know people and letting them know what you're up to, but not a blogging platform in any way, shape or form. As for WordPress, I was never fond of their hosted platform, but I have been running their software on my own website for 7+ years now. (Migrating away now for a number of reasons.) Itch.io already has devlogs for individual projects. The feature looks good to me so far -- as a light user -- and we can hope for per-creator blogs at some point.
My advice? If you can afford the costs, go with your own website. I pay $15 a year for the domain name, and $60 a year for hosting; you may be able to do with less. You'd have to be active on various social media platforms anyway; might as well point everyone back to one central place that represents you.
Speaking of which, another great community for game development is Open Game Art. While somewhat biased, as the name indicates, it's a good place to meet like-minded people and discuss any related topics with them. And pretty much every game development platform has its own, so if you're a fan of a specific language, engine or library look them up.