There's a list right on the website: https://plasma-bigscreen.org/get/

Since Plasma bigscreen is part of KDE, you probably want to start with a KDE desktop environment. So just get Fedora Kinoite (performs "atomic updates" which are a little faster and more reliable) or Fedora KDE Plasma Desktop (traditional packages which maybe have a higher chance to break, a little more annoying to update I think).

To install plasma-bigscreen on Kinoite, you run rpm-ostree install plasma-bigscreen and then reboot the computer.