Dear @Cj,
Welcome back to the Wefugees Community and thank you for reaching out to us again!
I remember that we discussed some aspects of the Arbeitslosengeld 1 and 2 already in your last thread (I am sick and want to quit my job - will I receive "Arbeitslosengeld" (unemployment benefits)?), right?
Could you find out if you are currently entitled to receive "Arbeitslosengeld 1" from the Agentur für Arbeit? While receiving Arbeitslosengeld 1, you are allowed to move to another place. Please don't forget to contact and inform the Agentur für Arbeit initially responsible for your file and the office at your new place as well. As mentioned in my answer on your last question, a so-called "Sperrzeit" may apply in case you can not convince the Agentur für Arbeit that you had a profound and serious reason to quit your job.
For people receiving "Arbeitslosengeld 2" from the Jobcenter, it is more difficult to move to another place and even to move to another appartment and the Jobcenter usually wants to see very good reasons for this step. In this case, I would always recommend to contact a counselling office ("Sozialberatung" or "Migrationsberatung") to get more individual advice and support.
Would you agree on my explanations dear @mbeon-ruth or is there anything you could add?
I hope this helps and please don't hesitate to get back to us with any further questions.
All the best,
Meike