Solus supports both MBR and UEFI firmware, but not UEFI Secure Boot. Booting the Live USB stick brought up the Budgie desktop shown above. There is a relatively typical looking panel across the top of the screen. The first icon at the left end of that panel is the Solus Installer.
It looks like Solus uses their own installer (at least I don’t recognize this one offhand). I don’t want to bore everyone (and myself) with a long-winded step-by-step walk through the installation process, but there are a few points that I would like to mention.