@kallekn @vijarvinen @rolle Yes, moving to Eurosky means you move your personal data there (to a server at Hetzner in Germany). So your follows/followers lists (and any blocks), your posts and your images/videos. This moves your data to EU jurisdiction.
You are still dependent on Bluesky for the infrastructure that Bluesky, the service, provides. So you use Bluesky with a Eurosky account. All indexing, search, and the aggregated view is still on Bluesky's infrastructure, not something Eurosky replaces. And moderation is of course in the hands of Bluesky.
You can log into http://mu.social (any Bluesky user can do that as well) which is the Eurosky client app, but which for now really is just another view (frontend) of Bluesky’s app. Essentially a fork of the Bluesky client, still dependent on Bluesky to operate. The benefit is that it’s another part of the whole that is on EU ”soil”.
Note: I had no issues migrating from Bluesky to Eurosky but I do recommend getting a custom username/domain before doing the migration, which theoretically ensures mentions don’t get lost because of a changed username. A custom username can be moved across - which will be true of any future migrations as well.