to use as a media centre and multiplayer gaming system in my living room
Based on this, you're basically looking for the 'game console experience on your couch'. If that's the case, honestly you shouldn't look beyond^[1]^ Bazzite.
If, instead, you actually wanted to play retro games primarily, then please let us know.
- While ChimeraOS and HoloISO also offer the 'game console experience', they don't support Nvidia GPUs. So you would be on your own at best; which would be a horrible experience for a new user. If you feel particularly adventurous, then Jovian-NixOS is actually another option. But arguably less newbie-friendly compared to Bazzite.
Most distros are somewhat equal when it comes to privacy, anonymity and security; with the likes of Fedora and openSUSE known for taking it more seriously out of the box than the other 'big bois', while some smaller distros like Kicksecure are known for their best-in-class^[1]^ hardening that they offer by default.
As for NixOS, it's really its own thing (together with Guix), and thus very different from any other distros. If you conquer it, you would be delightfully met by a system that enables you to do things unheard of in other distros. However, the learning curve is very steep. And perhaps even hardening it to the level that Fedora or openSUSE provide by default might not be trivial.