Rewrite our documentation landing page

- Change to Markdown
- Split the Table of Contents

docs/html/index.md

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+---
+hide-toc: true
+---
+
+# pip
+
+pip is the [package installer for Python][recommended]. You can use it to
+install packages from the [Python Package Index][pypi] and other indexes.
+
+```{toctree}
+:hidden:
+
+quickstart
+installing
+user_guide
+reference/index
+```
+
+```{toctree}
+:caption: Project
+:hidden:
+
+development/index
+ux_research_design
+news
+Code of Conduct <https://github.com/pypa/.github/blob/main/CODE_OF_CONDUCT.md>
+GitHub <https://github.com/pypa/pip>
+```
+
+If you want to learn about how to use pip, check out the following resources:
+
+- [Quickstart](quickstart)
+- [Python Packaging User Guide](https://packaging.python.org)
+
+If you find bugs, need help, or want to talk to the developers, use our mailing
+lists or chat rooms:
+
+- [GitHub Issues][issue-tracker]
+- [Discourse channel][packaging-discourse]
+- [User IRC][irc-pypa]
+- [Development IRC][irc-pypa-dev]
+
+[recommended]: https://packaging.python.org/guides/tool-recommendations/
+[pypi]: https://pypi.org/
+[issue-tracker]: https://github.com/pypa/pip/issues/
+[packaging-discourse]: https://discuss.python.org/c/packaging/14
+[irc-pypa]: https://webchat.freenode.net/#pypa
+[irc-pypa-dev]: https://webchat.freenode.net/#pypa-dev