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The buses from Nagoya to Matsumoto depart from Meitetsu Bus Center (Google Maps). The easiest way to get there from Chubu Airport is to take a Meitetsu train, which will bring you to Meitetsu-Nagoya station, right next to the bus center, but there is also a bus from the airport to the bus center (abbreviated "B.C." on the airport transportation page you linked). For both the train and the buses, English guidance will be available for ticket purchase, etc. (Meitetsu is the name of the train and bus company, by the way.)