I have been doing this for several weeks..very easy: Take the JFK Airtrain to Jamaica Station (the station after Federal Circle). Airtrain $5 charge. After going thru the exit go straight to the Long Island Railway door (LIRR) and there is a monitor in front of you. Find next train to Penn Station (every 10 min or so) - it will probably leave from Track 2. $5.75 off peak (4pm till about 8pm) or $8 peak - buy ticket from the machine or pay more on the train. Go all the way to Penn Station. Find the 34th Street/7th Ave exit and go up the escalator and turn right - you will be heading east on 34th...walk 1 long block to Broadway then turn left and go 1 block to 35th. Turn right and you will see your hotel.
I have been doing this for