Originally Posted by
beep88
Keio is much closer to the station, walk-able via underground passage with moving walkway (direction subject to rush hour pattern), and of course above ground, straight line from the station.
Hilton is a bit farther and might be easy to get lost if you walk, mostly above ground only. There is free shuttle bus service to/from the station.
Keio is the favorite among pleasure visitors.
Agree that you have a bit long walk to the Shinjuku Train Station, however the Hilton is accessible via underground passageway to the Nishi-Shinjuku station (Marunouchi line). a 5-min walk either under or above ground for me.