That's a lovely wallpaper that is.
Your overlapping windows are, of course, an affront to nature.
I do like tilers. Took me a while to get my head round them but it's one of those things where, once you get it and it clicks with you, it's basically impossible to go back.
i3's a good place to start since it's less of a leap.
For unrelated reasons I did make a workflow/explanation video on a friend's Youtube channel if that's any interest to you:
https://www.youtube.com/watch?v=eGGWS1toSck