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What kind of hotel? Motel One, that I mentioned previously, is about a 15-25 minute drive from the airport, and close to Bahnhof Zoo, an easy station to reach. I don't personally know much about the part of town which is closer to Tegel than that, but there must be something there.
That is great, that gives us a lot more flexibility. Considering that the rest of us have access to Berlin far more often, what would you like to see? Have you been to Berlin before?