diff --git a/docs/guides/integration/jupyter.md b/docs/guides/integration/jupyter.md
index a3375459a15a..d4c70a80524d 100644
--- a/docs/guides/integration/jupyter.md
+++ b/docs/guides/integration/jupyter.md
@@ -1,39 +1,76 @@
 # Using uv with Jupyter
 
-There are a few critical considerations:
+The [Jupyter](https://jupyter.org/) notebook is a popular tool for interactive computing, data
+analysis, and visualization. You can use Jupyter with uv in a few different ways, either to interact
+with a project, or as a standalone tool.
 
-- Are you working with a project (in which case, you want `uv run`)? Or are you working with a
-  standalone notebook (in which case, you want `uvx`)?
-- Do you need to install packages from within Jupyter? Or is the environment read-only? The latter
-  is way easier; the former requires some extra work.
-- Are you trying to run Jupyter directly? Or through an editor, like VS Code?
-
-## As a standalone tool...
+## Using Jupyter within a project
 
 If you're working within a [project](../../concepts/projects.md), you can kick off a Jupyter server
 with access to the project's virtual environment via the following:
 
 ```console
-$ uv run --with jupyter jupyter notebook
+$ uv run --with jupyter jupyter lab
 ```
 
 Within the notebook, you can then import your project's modules as you would in any other `uv run`
 invocation. For example, if your project depends on `requests`, `import requests` will import
 `requests` from the project's virtual environment.
 
-While `jupyter` itself is installed in an isolated environment when used via
-`uv run --with jupyter`, within the notebook, `!uv add` and related commands will modify the
-_project's_ environment.
+If you're looking for read-only access to the project's virtual environment, then there's nothing
+more to it. However, if you need to install packages from within the notebook, there are a few extra
+details to consider.
+
+### Creating a kernel
+
+If you need to install packages from within the notebook, we recommend creating a dedicated kernel
+for your project. Kernels enable the Jupyter server to run in one environment, with individual
+notebooks running in their own, separate environments.
+
+In the context of uv, we can create a kernel for a project while installing Jupyter itself in an
+isolated environment, as in `uv run --with jupyter jupyter lab`. Creating a kernel for the project
+ensures that the notebook is hooked up to the correct environment, and that any packages installed
+from within the notebook are installed into the project's virtual environment.
+
+To create a kernel, you'll need to install `ipykernel` as a development dependency:
+
+```console
+$ uv add --dev ipykernel
+```
+
+Then, you can create the kernel for `project` with:
+
+```console
+$ uv run ipython kernel install --user --name=project
+```
+
+From there, start the server with:
+
+```console
+$ uv run --with jupyter jupyter lab
+```
+
+When you create a new notebook, you can then select the `project` kernel from the dropdown. You can
+then use `!uv add pydantic` to add `pydantic` to the project's dependencies, or
+`!uv pip install pydantic` to install `pydantic` into the project's virtual environment without
+persisting the change to the project `pyproject.toml` or `uv.lock` files. Either command will make
+`import pydantic` work within the notebook.
+
+### Installing packages without a kernel
+
+If you don't want to create a kernel, you can still install packages from within the notebook.
+However, there are a few caveats to consider.
+
+Though `uv run --with jupyter` runs in an isolated environment, within the notebook itself,
+`!uv add` and related commands will modify the _project's_ environment, even without a kernel.
 
 For example, running `!uv add pydantic` from within a notebook will add `pydantic` to the project's
 dependencies and virtual environment, such that `import pydantic` will work immediately, without
 further configuration or a server restart.
 
-!!! note
-
-    Since the Jupyter server is running in an isolated virtual environment, `!uv pip install` will install package's
-    into _Jupyter's_ environment, not the project environment. Such dependencies may disappear on subsequent `jupyter`
-    invocations. To install packages into the project environment, use `!uv add`.
+However, since the Jupyter server is the "active" environment, `!uv pip install` will install
+package's into _Jupyter's_ environment, not the project environment. Such dependencies will persist
+for the lifetime of the Jupyter server, but may disappear on subsequent `jupyter` invocations.
 
 If you're working with a notebook that relies on pip (e.g., via the `%pip` magic), you can include
 pip in your project's virtual environment by running `uv venv --seed` prior to starting the Jupyter
@@ -41,36 +78,69 @@ server. For example, given:
 
 ```console
 $ uv venv --seed
-$ uv run --with jupyter jupyter notebook
+$ uv run --with jupyter jupyter lab
 ```
 
 Subsequent `%pip install` invocations within the notebook will install packages into the project's
 virtual environment. However, such modifications will _not_ be reflected in the project's
 `pyproject.toml` or `uv.lock` files.
 
-## As a project dependency...
+## Using Jupyter as a standalone tool
+
+If you ever need ad hoc access to a notebook (i.e., to run a Python snippet interactively), you can
+kick off a Jupyter server at any time with `uv tool run jupyter lab`. This will start a Jupyter
+server in an isolated environment.
+
+## Using Jupyter with a non-project environment
+
+If you need to run Jupyter in a virtual environment that isn't associated with a
+[project](../../concepts/projects.md) (e.g., has no `pyproject.toml` or `uv.lock`), you can do so by
+adding Jupyter to the environment directly. For example:
+
+```console
+$ uv venv --seed
+$ uv pip install pydantic
+$ uv pip install jupyterlab
+$ .venv/bin/jupyter lab
+```
+
+From here, `import pydantic` will work within the notebook, and you can install additional packages
+via `!uv pip install`, or even `!pip install`.
 
-## Within VS Code
+## Using Jupyter from VS Code
+
+You can also engage with Jupyter notebooks from within an editor like VS Code. To connect a
+uv-managed project to a Jupyter notebook within VS Code, we recommend creating a kernel for the
+project, as in the following:
 
 ```console
-# Create a new notebook project
-# and open the directory in code
-$ uv init my-notebook
-$ cd my-notebook
-$ uv add ipykernel
+# Create a project.
+$ uv init project
+# Move into the project directory.
+$ cd project
+# Add ipykernel as a dev dependency.
+$ uv add --dev ipykernel
+# Open the project in VS Code.
 $ code .
 ```
 
-- Now that the new project directory is open in code, use the action "Create: New Jupyter Notebook"
-- Click Select Kernel -> Python Environments
-- Select the virtual environment that uv created. It will be named .venv/bin/python in this dropdown
-  (or maybe .venv\Scripts\python on windows)
+Once the project directory is open in VS Code, you can create a new Jupyter notebook by selecting
+"Create: New Jupyter Notebook" from the command palette. When prompted to select a kernel, choose
+"Python Environments" and select the virtual environment you created earlier (e.g.,
+`.venv/bin/python`).
 
-If you don't `uv add ipykernel`, the notebook will fail to execute with an error.
+!!! note
 
-## Notes
+    VS Code requires `ipykernel` to be present in the project environment. If you'd prefer to avoid
+    adding `ipykernel` as a dev dependency, you can install it directly into the project environment
+    with `uv pip install ipykernel`.
+
+If you need to manipulate the project's environment from within the notebook, you may need to add
+`uv` as an explicit development dependency:
+
+```console
+$ uv add --dev uv
+```
 
-- If you run `uv add --dev ipykernel`, then `uv run ipython kernel install --user --name=uv`, you
-  can then run within the project environment even if Jupyter is installed elsewhere. This is great,
-  because `!uv pip install` will install packages into the project environment, not the Jupyter
-  environment. The downside is you need to add these as dev dependencies.
+From there, you can use `!uv add pydantic` to add `pydantic` to the project's dependencies, or
+`!uv pip install pydantic` to install `pydantic` into the project's virtual environment without