Fallout Shelter is out now on PC, but you'll need the Bethesda launcher
You wouldn't have a problem downloading the Bethesda launcher, would you?
Mobile hit Fallout Shelter has finally made its way to PC. As previously announced, the PC version became available alongside the big 1.6 update (a day early actually).
Eagle-eyed readers will note that Bethesda never actually announced where we'll be able to download when it hits PC. There was no Steam page for it the days prior, so everyone assumed it'll probably skip Steam.
This turned out to be true, as we now know you're going to need Bethesda's propriety launcher to play it. If you don't mind installing yet another publisher-maintained client, you can download the Bethesda launcher through here.
Once it's installed, you should be able to see Fallout Shelter listed, and you'll be able to grab it from there.