Limo bus

Hi there,

Yes there is a limo bus available from Haneda airport that brings your directly to the Hilton.
The price is 1200Yen/person.

Alternatively you can use the Monorail + train to travel to Shinjuku and either walk or take a taxi from there but this includes a couple of transfers. See here as example. This costs 680/person for the train.

It is hard to calculate taxi charges but be prepared to pay at least 7500 Yen from Haneda to Shinjuku by taxi, depending on traffic conditions.

Hope this helps.
Daniel