Ah. Munich is one of my favourite places.
Spent most of the week there, every week, for two years a while back.
Perhaps the most cosmopolitan city in Germany (maybe second to Berlin now, I suppose), known as “Million Village”… ie. Pop: 1m, but still has a village feel (kind of).
Locally known as being more Bavarian than German and, definitely noticable, that the poulation at large appears more Italian/Alpen than, er, Aryan.
As above: Very, very expensive place to live (but, hey, I was on expenses at the time) and a brilliant base for further travel.
Big employers are Siemens and BMW – both with big ex-pat bases – so loads of precedents to follow.
No idea about healthcare as an independent (albeit EU) migrant – but do know that healthcare quality is as per every German stereotype.
Have friends there still if you’ve any specific questions.