It is indeed confusiing. If I remember correctly, there was a link to “Docker CE” under the download button. Now I can’t find that either. There is a link at the bottom of docker.com: Desktop vs Docker Engine, but this is outdated since it doesn’t mention Docker Desktop for Linux.
You can use Docker CE for free. It is often referred to as Docker Engine:
Docker EE doesn’t exist anymore. It is Mirantis Container Runtime now used by Mirantis Kubernetes Engine since Mirantis bought Docker EE.
Thank you for pointing out the confusing references.
Most likely Docker CE but that can be installed from multiple sources. Always use the official guide that I linked above.
It depends on what type of containers you want to run. In case of Linux containers you can create a Virtual Machine that runs Docker CE. In case of Windows containers you can follow the Microsoft documentation
It also mentions Mirantis.