Seconded - all you have to do is specify a build command and an output directory and Netlify will build your site on every commit to master. You can easily add a custom domain, manage DNS, and get Let’s Encrypt SSL with the click of a button.

Not affiliated either, but I’ve been blown away by how seamless their service has been.

A second vote for Netlify, it's incredibly easy to use. I'm not monitoring uptime, but have had zero issues so far.

I use it with Hugo, a static site generator. I believe Netlify has an easy SSL setup option, but it has been a while since I set it up.

Before, I used NearlyFreeSpeech, which was very low cost but not nearly as streamlined.

I was not aware of Netlify, thanks for letting me know. I've added it to the list of alternatives.