I’m planning a week-long stay in Hamburg next year. I want to come with my dog. I know the rules with pet passport, rabies vaccination etc, but I also found something about a Hamburg Dog Registry and couldn’t really tell the registration and insurance rules also apply to tourists traveling with dogs?
I don’t think that part is relevant to you as a tourist, other parts of the law might be though. Details can be found here in case someone else wants to elaborate or you want to translate the text yourself
https://www.hamburg.de/hundegesetz/