You can take the Downtown 1 or 2 (of the 1-2-3, the red line) from 34th Street-Penn Station to Canal Street (at Varick Street).
You can also take the Downtown A-C-E (the blue line) from 34th Street-Penn Station to Canal Street (at 6th Avenue, only one block east of the Canal Street Station on the 1 and 2trains).
Or, you can take the Uptown 1-2-3 one stop, from 34th Street-Penn Station to 42nd Street-Times Square, and then transfer at Times Square to the Downtown N, R or Qtrains (of the N-R-Q-W, the yellow line) to Canal Street (at Broadway, a few blocks east of the Canal Street Station on the A-C-E).
The 6 train (of the 4-5-6, the dark green line) also stops at Canal Street, but you'd have to make two transfers to get to it from Penn Station, and the Canal Street Station on the 6 train is actually connected to the Canal Street Station on the N, R and Q trains. So you might as well just take the N, R or Q.
To get from Penn Station to Worth Street, you can take the 1 subway line. Board the 1 train at 34th Street-Penn Station and travel downtown. Get off at the Chambers Street station, which is close to Worth Street. Alternatively, you could take the A or C train from 34th Street-Penn Station to Chambers Street for a similar route.
Ninja NY is at 25 Hudson Street, between Reade and Duane Streets. Take the Downtown 2 or 3 express trains (of the 1-2-3, the red line), 2 stops, from 34th Street-Penn Station to Chambers Street.You will exit the subway at the 3-way intersection of Chambers Street, West Broadway, and Hudson Street. Walk 1.5 blocks north on Hudson Street (north is the only direction you can go, since Hudson Street begins/ends here) to 25 Hudson Street between Reade and Duane Streets.
No, the AirTrain takes you to and from the subway, and the subway takes you to and from Penn Station. Take the AirTrain to the Howard Beach Station, and get the Manhattan-bound A train (of the A-C-E, the blue line) to 34th Street-Penn Station.
To travel from LaGuardia Airport to Penn Station using the subway, you can take the M60 bus from the airport to the Astoria Blvd subway station. From there, you can transfer to the N or W train and take it to 34th Street-Herald Square station, which is near Penn Station.
Take the Downtown 2 or 3 trains (of the 1-2-3, the red line) from 34th Street-Penn Station to Wall Street (at William Street).
To get from Penn Station to 54th Street in New York City, you can take the 1, 2, or 3 subway lines from 34th Street-Penn Station. Transfer at Times Square-42nd Street to the N, Q, R, or W trains heading downtown. Alternatively, you can also walk a few blocks to catch the E train at 34th Street-Penn Station, which will take you directly to 54th Street.
Yes, the A express train goes from Penn Station to Chambers Street. It's 4 stops (unless you are traveling at night, when the A runs local). The Chambers Street station on the A and C trains is at Church Street.
Take the Uptown E train (of the A-C-E, the blue line) from 34th Street-Penn Station to Court Square.
You don't need to take the subway to get from Penn Station to 28th Street and 8th Avenue (which is in the Chelsea neighborhood, by the way, not in Greenwich Village or Greenwich Connecticut). Penn Station is at 34th Street between 8th and 7th Avenues. So you can just walk there.
Take the Uptown 1-2-3 (the red line) from 34th Street-Penn Station to 42nd Street-Times Square, and transfer there to the N.
Penn Station is at 34th Street so it is 20 blocks away from 54th St. You would take the subway two stops north.
To take the subway from LaGuardia to Penn Station, you will need to first take the Q70 bus from the airport to the Roosevelt Ave-Jackson Heights subway station. From there, you can transfer to the E train, which will take you directly to Penn Station.