I moved in 2021.

Others have pointed out that you can use podman-compose or docker-compose pointed at podman. I did something different: I switched to using systemd to manage all my containers. It was worthwhile as I can just use my usual systemctl and journalctl utilities for both containerized and non-containerized services rather than having to remember two sets of commands.

I only experienced one minor issue with pasta (used by podman) with networking, but by then I had fully committed to podman so I did not even try to see whether I would have had this same issue if I were using docker.