Good luck! From what I remember, most German university hospitals do a decent job at testing adults on the spectrum. Knowing there are several people (indirectly) involved in the process of evaluating you can be reassuring.
I received my diagnosis in a university hospital myself although being under the age of 21 back then, I was tested by the team of the ambulant child and youth psychiatry there.
Just this months, I asked for another university hospital nearby to be contacted on my behalf (who sure has quite autism-unfriendly contact options for an ambulance specialising on diagnosing ASDs in adults) in order to ask whether they would be able to retest me. Wish I had more confidence in their skills. Truth to be told, I've pretty much lost all confidence in mental health professionals when it comes to my issues with talking and understanding.
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Autism + ADHD
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The trouble with having an open mind, of course, is that people will insist on coming along and trying to put things in it. Terry Pratchett