Take the Downtown A-C-E (the blue line) from 34th Street-Penn Station to West 4th Street. All three of these trains (the A, the C and the E) stop at West 4th Street, so it doesn't matter which one you take. The A is an express train, though, so it's only two stops: 34th Street-Penn Station ---> 14th Street ---> West 4th Street. The Cand E are local trains, but there's only one more stop than the A from 34th Street-Penn Station to West 4th: 34th-Penn Station ---> 23rd ---> 14th ---> West 4th.
At West 4th Street, transfer to the Downtown F train (of the B-D-F-M, the orange line). You can take the Downtown F train to 2nd Avenue (at Houston Street) or Delancey Street (at Essex Street). Both of these stops are smack in the middle of the Lower East Side.
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.
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.
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.
No. You would have to transfer at another station that has access to it.
No, but it does stop at penn station and you can take the subway
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.
To navigate from Penn Station to Battery Park using the subway system, you can take the 1 train from Penn Station towards South Ferry. Get off at the South Ferry station, which is the closest stop to Battery Park. From there, you can walk to Battery Park.
Take the Uptown E train (of the A-C-E, the blue line) from 34th Street-Penn Station to Court Square.
Park Avenue is about half a mile east of Penn Station.
To travel from Penn Station to Battery Park, you can take the subway. Board the 1 train at Penn Station and ride it all the way to South Ferry Station. From there, it's a short walk to Battery Park.
MetroNorth from Poughkeepsie goes to Grand Central. Amtrak from Poughkeepsie goes to Penn STation. It's very easy to take MetroNOrth to Grand Central and then get the subway to Penn Station.
Take the Uptown E train (of the A-C-E, the blue line) from 34th Street-Penn Station to 53rd Street-5th Avenue. Fifth Avenue is one block west of Madison Avenue.