podman-compose has gotten much better. I used it for a work project a few months ago, and it ran fine. That said, I know there are some random little things podman-compose doesn't support, so be careful.

What I'm experimenting with right now is defining stuff with a Kubernetes yaml, which podman also supports: https://docs.podman.io/en/latest/markdown/podman-kube.1.html.

It's slightly more verbose than docker-compose, but podman supports it natively and you can actually wrap your app containers into a single "pod" for easier management.