Welcome back to the Wefugees Community and thank you for reaching out to us.
For a tailored answer on your question we might need some more details.
In general, if you are financing the rent by yourself and you don’t have the official obligation to live in a reception Centre, you are free to move (please consider that you also need to stay in the same city/district with a so-called “Wohnsitzauflage”). Of course you would always need to register yourself with your new address.
However, if you are receiving social benefits from the Jobcenter or “Sozialamt” (Asylbewerberleistungen) and you want to move to another flat, you will need the permission of that respective authority. They will check if the moving is necessary from their perspective and if the rent and size is adequate.
I hope this helps and please don’t hesitate to get back to us if you want to discuss your case further.
All the best,