Taxi from Haneda to Shinjuku

Hi,

I will Land in Haneda at 21:30. what is the expeted price for Taxi to Shinjuku?

https://www.taxifarefinder.com/main.php?city=Tokyo-Japan&lang=en

FYI: Bus to Shinjuku station is running later at night.
You can search both bus schedule and taxi fare here.
http://www.haneda-airport.jp/inter/en/access/accessfinding.html
According to this site, taxi fare is about 10,000JPN, 30-40min. ride.

Book a fixed/flat fare taxi.
http://www.taxi-tokyo.or.jp/english/teigaku/index.html
http://www.taxi-tokyo.or.jp/english/teigaku/from.html

http://www.haneda-airport.jp/inter/en/access/taxi.html

You don�ft need to book a taxi for your ride from Haneda Airport (taxi stand).

what is the expeted price for Taxi to Shinjuku

Due to the flat rate,
your taxi fare (per car per ride) would be either
8500 yen (to a place in Shinjuku City) or
8000 yen (to a place in Shibuya City).
(Shinjuku Station of JR straddles the municipal border.)

Your taxi ride will be during the hours from 22:00 to 5:00,
when a higher rate is set for taxi fares in Tokyo.

Will you travel solo?

I will Land in Haneda at 21:30.

If your flight to HND should last for hours,
I recommend you would stay closer to the airport,
for a case where the arrival happens to be delayed much.

Everything going smoothly,
you can go by railway to a station in Shinjuku
(Fares: several hundred yen per adult passenger).

To get to a hotel
near South Gate or New South Gate of (JR) Shinjuku Station,
you can take
a limousine bus until the bus terminal in Busta Shinjuku
(Fare: several hundred yen per adult passenger)
then a taxi
(Fare: 490+ yen (depending on the distance) per car per ride).