Swapped a few years back (pre 5.0), haven't looked back. For compose files I'd look into using quadlets.
For quick conversions you can use compose files directly with podman-compose or docker compose pointed at the podman socket[0].
There's also podlet[1] which converts compose files into native quadlets. It does a pretty good job of taking care of everything for you and for a lot of simple to medium complexity compose files it will Just Work. There's talk of making it into a library of some kind so other tools can transparently convert compose files to quadlets so hopefully we'll see more stuff like it.
Otherwise, writing your own Quadlet files isn't too hard if you're at all familiar with systemd unit files. Most `docker run` or `podman run` arguments have direct quadlet conversions so once you get used to the INI format versus yaml it's pretty easy to see a compose file and churn out the equivalent quadlet(s).