Yes, the win+arrow shortcut is one of the few window management things from Windows that I miss on Mac - so I use HyperDock to get that functionality (and the similar drag-and-snap-to-edge-of-screen window resizing). I have a feeling you can find free tools to do the same too if you search a bit as well

This is my second hangup! A coworker of mine recommended https://www.spectacleapp.com/ which does a great job mimicking the Windows native docking commands.