If the Limousine Bus runs to the hotel you are staying at it is probably the easiest way to go in my opinion, especially with baggage.
I live on this area and use the Narita Express to/from Shinagawa Station and a taxi to/from the apartment, approx. Y1,200 for the taxi fare.
The Narita Express is Y3,300 and takes about 70 minutes.
SN