docs: polish and modernize README #588

Job	Run time
PR title check	3s
Docstrings checks / Docstrings checks	11s
Tests / Integration tests (3.11, ubuntu-latest)	2m 18s
Code checks / Actions lint check	28s
Code checks / Spell check	8s
Doc checks / Doc checks / Docs check	1m 0s
Tests / Integration tests (3.14, ubuntu-latest)	2m 33s
Code checks / Type check / Type check (3.11)	13s
Code checks / Type check / Type check (3.14)	14s
Code checks / Type check / Type check (3.13)	11s
Code checks / Type check / Type check (3.12)	11s
Code checks / Lint check / Lint check (3.12)	13s
Code checks / Lint check / Lint check (3.13)	11s
Code checks / Lint check / Lint check (3.14)	14s
Tests / Unit tests / Unit tests (windows-latest, 3.13)	59s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.11)	39s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.14)	40s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.13)	39s
Code checks / Lint check / Lint check (3.11)	10s
Tests / Unit tests / Unit tests (windows-latest, 3.11)	1m 4s
Tests / Unit tests / Unit tests (windows-latest, 3.14)	55s
Tests / Unit tests / Unit tests (windows-latest, 3.12)	1m 2s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.12)	39s
	14m 55s

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