This is how I've migrated repositories to Codeberg:

1. Make a new repository on Codeberg

2. Add the remote to origin in the existing repository, using:

   git remote set-url origin --add ssh://git@codeberg.org/amberstarlight/repo.git

   I could have added a different remote name, for example codeberg, but as I am intending to remove repositories from GitHub in the future this is a simple way to make both remotes exactly the same. You could probably script this using basename $(pwd) or similar.

3. Run git push to push the repository - this will push to all origins, the original GitHub origin and the new Codeberg origin.

4. Delete the GitHub repository (optional)

I haven't looked into Woodpecker CI at all yet - but I will note here that you need to request access to use it.