Readme and language review

[lkdvos]

I rewrote the readme to give a bit of a cleaner look, and then did a big (LLM-assisted this time) review of the language to get rid of some remaining typos and inconsistencies.
I think I'd be happy to register after this :)

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 99.57%. Comparing base (f87561f) to head (8f113fc).
⚠️ Report is 1 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main      #17   +/-   ##
=======================================
  Coverage   99.57%   99.57%           
=======================================
  Files           6        6           
  Lines         235      235           
=======================================
  Hits          234      234           
  Misses          1        1           

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