Airport Limousine to Shinjuku Station West Exit, and taxi

At the airport, go to the desk of Airport Limousine Bus and purchase one way ticket to "Shinjuku Station West Exit."    At "Shinjuku Station West Exit" stop, the limousine bus stop is next to the taxi stand, where a row of taxis are usually waiting for customers.      Take a taxi to the hotel, which is around 1.5 Km away from the limousine bus stop. (Show this to the taxi driver.)  The limousine bus costs 3100 Yen. The taxi will cost about 1000  Yen and should less than 2000 Yen.