The simplest way would be to take the Downtown 2 or 3 trains (of the 1-2-3, the red line) from 14th Street (at 7th Avenue) to Wall Street (at William Street).
West Street subway station was created in 1896.
You can take the Uptown (Queens-bound) E train (of the A-C-E, the blue line) from Penn Station to the end of the line. The last few stops on the E train are in Jamaica: the Jamaica-Van Wyck Station, the Sutphin Boulevard-Archer Avenue Station, and the Jamaica Center-Parsons/Archer Station (end of the line).You can also take the F train (of the B-D-F-M, the orange line) to the end of the line: the Briarwood-Van Wyck Boulevard Station, the Sutphin Boulevard-Hillside Avenue Station, the Parsons Boulevard-Hillside Avenue Station, the 169th Street-Hillside Avenue Station or the Jamaica-179th Street Station (end of the line).The F will drop you off further north in Jamaica. But you can't take the F from Penn Station. You'll need to take the Downtown A, C or E from 34th Street-Penn Station to West 4th Street.At West 4th Street, transfer to the Uptown F.See the Related Link below for a complete New York City subway map.
Penn Station is at 34th Street so it is 20 blocks away from 54th St. You would take the subway two stops north.
Walk west to Lexington Avenue and north to 53rd Street, and take the Downtown E train (of the A-C-E, the blue line) from Lexington Avenue-53rd Street to 34th Street-Penn Station.
To get from Penn Station to the Museum of Modern Art (MoMA), take the E subway line from Penn Station heading towards World Trade Center. Ride for two stops and transfer at 42nd Street-Port Authority Bus Terminal to the 7 train. Take the 7 train one stop to 5th Avenue. From there, it's a short walk to MoMA, located at 11 West 53rd Street.
Take the Downtown A-C-E (the blue line) from 34th Street-Penn Station to West 4th Street (doesn't matter which you take, the A, C or E). Transfer at West 4th Street to the Downtown F train (of the B-D-F-M, the orange line) to East Broadway.You'll exit the subway at or near the corner of East Broadway and Rutgers Street. Walk one block south on Rutgers Street to Henry Street.
Assuming you meant "6th Avenue and 45th Street": the easiest way would be to take the Uptown 1, 2, or 3 trains (the red line) ONE STOP from Penn Station/West 34th Street to Times Square/West 42nd Street. You will exit the subway at around 7th Avenue and 42nd Street. Walk north 3 blocks to West 45th Street. Then turn right, and walk one block east to 6th Avenue.
Hip, trendy bars in the area around Penn Station are few and far between. You would be much better off taking the subway down to the West Village. The West Village is one of the trendiest neighborhoods in the city, and both the A-C-E subway line (the blue line) and the 1 or 2 trains (of the 1-2-3, the red subway line) run directly between Penn Station and the West Village. If you take the A-C-E, then you will be going from Penn Station (34th Street) to West 4th Street. That is TWO STOPS on the A train, and THREE STOPS on the C or E. If you take the 1 train, then you will be going from Penn Station (34th Street) to Christopher Street/Sheridan Square. That is FIVE STOPS. Do NOT take the 2 or the 3 trains, as they are express trains and do not stop at Christopher Street/Sheridan Square. The West Village is absolutely loaded with trendy bars and restaurants. Just walk around a bit and pick one you like.
Take the B, D, V or F to Broadway/Lafayette Exit at the West end of the station or Take the 8 to Bleeker Street or Take the R or W to Prince Street
Hati is west of Jamaica.
To get to 555 W 57th Street via subway, first determine your starting location. If you're near a subway station, take the C or E train to the 57th Street - 7th Avenue station. From there, it's a short walk west to 555 W 57th Street. Make sure to check the MTA website or an app for real-time service updates and any changes.
1. The nearest subway hub is on 34st. Penn Station, 8th Ave. 2. While you're there, you take either the A or E. Whichever one you take, MAKE SURE it's the downtown. So...either take Downtown A, or Downtown E 3. Keep riding the Subway until you reach West 4th Street. Exit when you get to this stop. 4. I believe this takes you to Washingtown Square Park, which is in West Village. Just in case if you wanted to know how to get back up: 1. Get on the subway A, or E, MAKE SURE it's uptown this time. 2. Get off at the 34st Penn Station stop.