The Hilton and Hilton Garden Inn directly adjacent to the terminal are hard to beat in terms of convenience. If you aren't keen to go out in the city that evening you could just have some Bavarian beer and food at the Paulaner that's in the same building and call it a day.
Now, the city is only 15 minutes by train from the airport, and it is compact enough to walk many of its major sights within a couple hours. You could easily do that the next morning and be back at the airport around 12.30 for your flight.
Perfect!
Thank you
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