Rearrange things according to suggestions

docs/reference/setup/install.asciidoc

@@ -16,8 +16,8 @@ To set up Elasticsearch in {ecloud}, sign up for a {ess-trial}[free {ecloud} tri
 
 If you want to install and manage {es} yourself, you can:
 
-* Run {es} on any Linux, MacOS, or Windows machine.
-* Run {es} in a <<docker, Docker container>>. 
+* Run {es} using a <<elasticsearch-install-packages,Linux, MacOS, or Windows install package>>.
+* Run {es} in a <<elasticsearch-docker-images,Docker container>>. 
 * Set up and manage {es}, {kib}, {agent}, and the rest of the Elastic Stack on Kubernetes with {eck-ref}[{eck}].
 
 TIP: To try out Elasticsearch on your own machine, we recommend using Docker and running both Elasticsearch and Kibana. For more information, see <<run-elasticsearch-locally,Run Elasticsearch locally>>.
@@ -57,15 +57,21 @@ Elasticsearch website or from our RPM repository.
 +
 <<rpm>>
 
+TIP: For a step-by-step example of setting up the {stack} on your own premises, try out our tutorial: {stack-ref}/installing-stack-demo-self.html[Installing a self-managed Elastic Stack].
+
+[discrete]
+[[elasticsearch-docker-images]]
+=== Elasticsearch container images
+
+You can also run {es} inside a container image.
+
+[horizontal]
 `docker`::
 
-Images are available for running Elasticsearch as Docker containers. They may be
-downloaded from the Elastic Docker Registry.
+Docker container images may be downloaded from the Elastic Docker Registry.
 +
 {ref}/docker.html[Install {es} with Docker]
 
-TIP: For a step-by-step example of setting up the {stack} on your own premises, try out our tutorial: {stack-ref}/installing-stack-demo-self.html[Installing a self-managed Elastic Stack].
-
 [discrete]
 [[jvm-version]]
 === Java (JVM) Version