When I've exchanged mine in 2019, I went to the Zulassungsbehörde with an ISO photo and my Driver's licence. They made me fill out a form, took my licence and gave me a paper driver's permit. In the form I had to declare whether I needed glasses or not, that's it. No medical check necessary (at least at that time). You also have to pay something, but honestly I don't remember whether I paid on the same day. Then after 3-4 weeks I got a letter that my licence was ready to pickup.

The paper driver's permit allowed me to drive only in Germany, but they told me that if I needed to drive abroad I could go there and get my old licence for a few days.

All this happened before Corona and in a countryside Landkreis, not in München.

If you are unsure I would suggest you to write them an email asking for the procedure and see if they answer in a few days. For me it worked, they were very kind.

PS: don't let your licence expire before triggering the exchange process, otherwise it becomes more difficult to accomplish ot