for first timer like me to travel from airport to the hotel That seems not to be a hotel.
It may be an apartment house provided by a private lodging [
minpaku] service.
You had better check whether it surely shroud be available for that night.
(Minpaku lodging is restricted by law to be up to 180 days in a year.)
Which way to travel is better depends on persons and situations.
For travelers without difficulty in walking,
as long as you can avoid weekdays' morning and evening rushes
(in railway stations and trains),
the following route sounds simple and relatively easy to go.
Narita Airport
(Terminal 1, 2 or 3) bus stop
| The Access Narita bus
http://accessnarita.jp/en/home/#timetable-title-3386Ginza Station bus stop
| Short walking
Ginza Station (M-16) (#1) : Track 3
| Tokyo Metro Marunouchi Line
(M-09) Shinjuku-sanchome Station (F-13): Track 4
| Tokyo Metro Fukutoshin Line
(F-12) Higashi-shinjuku Station (#2)
| Short walking
Mishimaya Building
(1-4-20 Ōkubo, Shinjuku City, Tokyo Metropolis, 169-0072 Japan).
- Tokyo Subway Route Map
https://www.tokyometro.jp/lang_en/station/rosen_en_201904.pdf#1:
Just near the Access Narita bus stop
is the elevator for the Marunouchi Line.
Ginza Station (M-16)
https://www.tokyometro.jp/lang_en/station/ginza/yardmap/index.html#adj...: Entrance on the ground (between C5 and C7)
{Elevator down}
Concourse on B1F -->> Gate -->>
{Escalator down}
Platform on B2F.
#2:
(F-12) Higashi-shinjuku Station
https://www.tokyometro.jp/lang_en/station/higashi-shinjuku/yardmap/ind...: Platform on B6F {Elevator up}
Concourse on B4F -->> Gate -->> {Escalator up}
Pathway on B1F {Elevator up}
Exit on the ground.