Improve installation section in README

README.md

@@ -1,6 +1,6 @@
 # <img src="dist/artwork/dusty-right.svg" alt="" title="Dusty, the quick-lint-js mascot" width="46.4" height="36" align="top"> quick-lint-js
 
-[quick-lint-js][] finds bugs in JavaScript programs.
+quick-lint-js finds bugs in JavaScript programs.
 
 quick-lint-js finds many bugs, including:
 
@@ -13,24 +13,56 @@ quick-lint-js finds many bugs, including:
 
 ## Installing
 
-See [installation instructions](https://quick-lint-js.com/install/) for how
-to install quick-lint-js' CLI, LSP server, and editor plugins.
+There are many ways to install `quick-lint-js`, depending on how you prefer to work! Here are the environments we support:
 
-## Contributing
+- CLI (Command-Line Interface)
+- LSP (Language Server Protocol)
+- Editor Plugins for:
+  - Visual Studio Code (VSCode)
+  - VSCodium
+  - Vim/Neovim
+  - Sublime Text
+  - Emacs
+  - Kate
 
-If you want to make quick-lint-js better, see our
-[contributing guides](https://quick-lint-js.com/contribute/).
+For detailed installation instructions, visit the [quick-lint-js installation guide](https://quick-lint-js.com/install/).
 
-## Contact
+## Examples
+Here are some common bugs that `quick-lint-js` can catch:
+
+### Example 1: Undefined Variable
+```js
+const occupation = "Engineer";
+console.log("Welcome, " + ocupation); // Typo: 'ocupation' should be 'occupation'
+```
+Output: `use of undeclared variable: ocupation`
 
-**Bugs and feature requests**: [file an issue on GitHub](https://github.com/quick-lint/quick-lint-js/issues)
+### Example 2: Reassigning a const variable
+```js
+const name = "John";
+name = "Doe"; // Error: Cannot reassign a constant
+```
+Output: `assignment to const variable: name`
 
-**IRC**: ask questions in [#quick-lint-js][quick-lint-js-irc-web] on
-[Libera.Chat][]
+### Example 3: Using await in a non-async function
+```js
+function getData() {
+  await fetch("/data");
+}
+```
+Output: `await used in non-async function`
 
-**Security bug reports (private disclosure)**: email
-[[email protected]](mailto:[email protected])
+These are just a few examples of how `quick-lint-js` can help identify common issues in your JavaScript code.
+
+## Contributing
+
+We’re always happy to welcome new contributors! If you’d like to contribute to `quick-lint-js`, please refer to the contributing guide on our website for all the details.
+
+Check out the [contributing guide here](https://quick-lint-js.com/contribute/).
+
+## Contact
+If you have any questions or feedback, feel free to reach out:
 
-[Libera.Chat]: https://libera.chat/
-[quick-lint-js-irc-web]: https://kiwiirc.com/nextclient/irc.libera.chat/#quick-lint-js
-[quick-lint-js]: https://quick-lint-js.com/
+- **Bugs and feature requests**: File an issue on GitHub.
+- **IRC**: Ask questions in the quick-lint-js channel on Libera.Chat.
+- **Security bug reports** (private disclosure): Email us at strager.nds@gmail.com