There are many accommodation options around Shunjuku district, but remember that it is an hour train trip from there to Chuo University each way. Closer to the university are the districts of Tachikawa (north of the campus) and Hachioji (north-west of campus). The suggestion is to find a hotel in the Tachikawa district and commute to the university campus using the monorail.

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Geoffrey: I have booked Tachikawa Washington Hotel, which is close to Tachikawa Minami station.