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How to migrate from sid to stable?

Hi everyone,

I have a computer which does not need anymore to be running the unstable
version. I would like to migrate it to stable at some point.

If I backup the home and rsync it on a new installation of Debian
stable, I will have problems with the downgrade of softwares settings.

I am not in a hurry and could slowly migrate to stable. But I am not
sure changing the repositories to stable and wait with no update during
a while is a good idea.

I could not think of a proper (and somehow automatic) way to do this. Is
there one?