I ran a wordpress blog for a while. What a godawful piece of shit that is. Security critical updates all the time, and HAHAHAHA, they regularly break themes. I have no idea why, but probably because wordpress refuses to create a nice them api so they can try and gpl every theme. Plus it's slow. Plus it's difficult to secure. I had originally used a hosted wp instance until that got repeatedly hacked. Then I ran it myself. Yuck.
Then I used octopress for a while. I had to configure nginx and ssl and then deal with things like figuring out why pygments broke. Something went wrong with python which obviously I'm using inside by ruby blog engine. Mathjax deprecated their cdn and I'm still too lazy to go fix it.
Medium, imo, creates a nice solution where (1) writing is pleasant, (2) publishing is easy and comes out nicely formatted, and (3) when you're busy, you spend the majority of your time writing instead of doing ancillary things.