Planning to spend a month in Munich -- looking for advice

I am looking for a monthly rental in Munich starting in June and into July. I would very much appreciate suggestions on which neighborhoods would be good for someone who loves to explore cities on foot and grab some quick food while out and about. Also, is it possible to get by without speaking more than a few words of German?

The context is that I find myself simultaneously unemployed and without an apartment (water damage --> construction) but with the means to do some traveling. I plan to go to a different city roughly each month until I find my next job and return back home to Boston in the US. So, if anyone has suggestions for other places in Europe where a primarily English speaking person can rent a place for ideally less than $3,000 USD a month, I would appreciate that as well.

I'm hoping to turn what is otherwise a frustrating set of circumstances into a fun, semi-nomadic adventure while I figure out what is next. I appreciate any and all insight that folks have to offer. Thank you in advance!