I feel like my eyes can only look at one thing at a time. I just have shortcuts to switch between programs.
Why do you prefer using a tiling WM and how do you use the tiling functionality in your workflow?
The ‘tiling’ in tiling window-managers is only half-truth. It distinguishes them from stacking window-mamagers, which would be equal to only looking at one thing at the time.
They all can also do stacking and tabbing, the term means they can do tiling as well. Most users some form of stacking even more than tiling in itself.
Most also can do floating windows, usually on per-app basis. This is achieving what most fully fledged desktop users do: have one fullscreen window per workspace, and have small things like pacucontrol as small floating window.
In no way are you limited to tiling. If you were, tiling window managers wouldn’t be very popular. They’d be like stacking window managers are today.
My most often use half-and-half layout: browser and emacs, emacs and console, emacs and emacs, and so on. If I want to have two consoles and emacs, I instead of tiling, make a stack for the two consoles. This way I always have emacs showing, and switch between the consoles, no matter how many there are. This is kind of like a “sub-workspace”.
The main advantage is ease of configuration, assuming familiarity with config-files. That enables quick, keyboard based navigation, in a very personal and fine-tuned manner. Modern tiling window-managers can also be configured on trackpad or touchscreen gestures, and work intuitively with mouse pointer. So while many users do specifically keyboard centric configuration, the key point in my opinion is that you as a user need, and get to, choose.