Skip bottles, havent found a use case for it that lutris didnt handle. Not saying you might not use it for some specific situation, its just never happened to me.
Lutris is a GUI and front end that runs emulators and calls them runners.
Wine is a runner for windows, proton is steams version of it. You can add you local games to steam and then use the compatibility menu in game properties to enable the proton emulator.
Some distros come with all this preinstalled, makes it very easy. Some of them you have to install each piece individually. I dont know which mint is, but I’d look into that first so you know what to expect.
For example popos came with it all preinstalled while endeavouros did not.
I really can’t recommend popos enough for those that have a wider use case (work, browsing, gaming) that want a reliable and out-of-the-box experience with little hastle. Its created by a company that ships their hardware with the OS so you get to piggy back on the support there, and Ubuntu is, IMO, extremely forgiving and intuitive to learn as opposed to arch
This used to be a requirement but is now optional. For example, Mint, EndeavourOS, and PopOS all are distros that are simple to install and configure, even simpler than windows in most cases. Popos has a software store pre-installed that works exceptionally well and supports flatpaks too. Drivers work out of the box.
There are still the distros that are more complex as a rule, and you can also mess up the distros I mentioned above, but you no longer have to wade through a dark forest to get your computer running correctly for basic use.
Also if you game, the lutris and steam make it extremely easy to do. You really should try it if you haven’t in a while, its impressive what those two pieces of software can do now.