You could try Amethyst, it is a tiling window manager for Mac, but it's substantially better than without.

https://ianyh.com/amethyst/

It also adds shortcuts for things like moving windows between virtual desktops. Why is that not a key binding by default in MacOS?

Tiling left and right does sort of exist natively, but you have to make an app only desktop and then add the second one. It's really clunky and doesn't feel like it's intended for actual use.