Heavy compose user here, and when I tried the podman equivalent of compose was missing some functionality that made me move back.
I did try that and it doesn't work, and podman compose isn't as useable. So I switched back to docker.
Podman is (mostly) a drop-in replacement for docker. However, docker-compose is a separate package from docker that requires explicit installation. So too is podman-compose separate from podman, though unfortunately it still needs more work.
It doesn't quite work yet today because we are still implementing some of the REST verbs, but it's close. It's definitely a strategic direction for the roadmap. Stay tuned.