Matthew Butterick with probably the most astute and complete takedown of Medium as a platform for your writing I have read:

In truth, Medium’s main prod­uct is not a pub­lish­ing plat­form, but the pro­mo­tion of a pub­lish­ing plat­form. This pro­mo­tion brings read­ers and writ­ers onto the site. This, in turn, gen­er­ates the us­age data that’s valu­able to ad­ver­tis­ers. Boiled down, Medium is sim­ply mar­ket­ing in the ser­vice of more mar­ket­ing. It is not a “place for ideas.” It is a place for ad­ver­tis­ers. It is, there­fore, ut­terly superfluous.

“But what about all the writ­ing on Medium?” The mea­sure of su­per­fluity is not the writ­ing on Medium. Rather, it’s what Medium adds to the writ­ing. Re­call the ques­tion from above: how does Medium im­prove the In­ter­net? I haven’t seen a sin­gle story on Medium that couldn’t ex­ist equally well else­where. Nor ev­i­dence that Medium’s edit­ing and pub­lish­ing tools are a man­i­fest im­prove­ment over what you can do with other tools.

If you use it, I would personally urge you to leave Medium and take control of your writing. WordPress is easy-to-use, easy to set up, and you can put together a basic site on a host for around $100 a year or so. (If you want to give this a shot, for most beginners I usually recommend DreamHost.)

Or if you don’t want to worry about hosting and all that stuff, come host your site on WordPress.com. You own your content, you can take it with you if you leave for a self-hosted WordPress installation, and it’s backed by world-class support. (I work there; I know these people and they are the finest.)

(h/t to Matt for the link)