Shinjuku Station to Naritasan

Hi,
What's the fastest way to travel from Shinjuku Station to Naritasan? And how long is the travel time?
Thanks.

The closest station to the temple is Keisei-Narita and Narita Station. There are several options that are about equally fast, some more complicated than others:
http://www.hyperdia.com/

Thanks, Uji. I guess we won't be going to Naritasan as there are just too many transfers involved and we are no spring chickens anymore. I took a look at N'EX out of curiosity (We have never taken N'EX before). 8,000 Yen is a lot of money just to see Naritasan. Maybe in our next lifetime.

See the rail maps first.
https://s23.postimg.org/ekfujv3iz/20161101_005518_00.png
Keisei-Narita/Narita are last stn of NRT T2.
http://www.narita-airport.jp/en/access/train/

Select one.
1)
Shinjuku(Toei/Subway) --- Moto-Yawata(Toei)/Keisei-Yawata --- (via Keisei main line) --- Keisei-Narita
2)
Shinjuku(Toei/Subway) --- Kuramae --- (via Asakusa line,Aoto and Sky Access) --- NRT(T2) --- Keisei-Narita
3)
Shinjuku(JR) --- Tokyo(JR)/Tokyo --- (by bus) --- NRT(T2) --- Keisei-Narita
http://accessnarita.jp/
http://www.keiseibus.co.jp/kousoku/nrt16.html

All plans are under 2000Y/adult oneway and not so slow.
1) is the cheapest but no Tokyo(urban) scape until Moto-Yawata by Subway(underground).
http://www.hyperdia.com/en/cgi/en/search.html?dep_node=SHINJUKU(NEW%20...
(change date and dep time)

Also 4) take a limo bus fr Shinjuku to NRT but won't be cheaper.
http://www.limousinebus.co.jp/en/

Naritasan(shrine) placed 10 min walk fr Keisei-Narita/(JR)Narita stns.