My typical recommendation for anyone new to Linux looking to get their feet wet would be Linux Mint. As long as you keep the system updated, it should be a decent choice for gaming.
The following is not to discourage you, but to help keep expectations in check. Gaming on Linux is not perfect. It’s not comparable to gaming on Windows. A LOT of games (with the assistance of Steam’s Proton) “just work,” but things are not to a point where that’s ever a guarantee. I would recommend looking up your staple games on https://www.protondb.com to review Linux compatibility, if the games run or need additional run options.
I say all this as someone who runs exclusively Linux, and is a gamer and occasionally streams. It’s perfectly doable, but expect to have to get your hands dirty at some point in the venture. And don’t be afraid to ask questions!