JFK Airport Shuttles

You have plenty of time and if you don't want to spend ~$30 for a taxi , you can take NYAS(New York Airport Service) bus that leaves in front of each terminal every 30 min to LGA. It will cost you $13 per passenger. You do have time for taking public transportation(it is with two transfers; $7.25 per passenger). Let us know if you need that one.
JFK_E

Take Airtrain from any terminal on track 1 to Howard Beach Station( be careful - on that track there are two alternating trains going to different routes; check the sign above the doors as the train arrives; the green colored sign is Howard Beach one). Then take subway line A towards Manhattan and get off at 59 street/Columbus Circle stop. There you transfer to subway line 1 going uptown and get off at 79th street stop.Your address is a block away going west on 79th street. Cost - $7.25 per passenger.
JFK_E

Take Airtrain from any terminal on track 1 to Jamaica Station( be careful - on that track there are two alternating trains going to different routes; check the sign above the doors as the train arrives; the red colored sign is Jamaica one). Then take subway line E to Penn Station, where you take NJ Transit Rail to Newark Airport Railroad Station. There you take Newark Airtrain to Newark Liberty Airport.

JFK_E

For that short period of time taxi would be your best bet.
As per http://nyc.taxiwiz.com/ :
"That cab ride would cost about $87.61. That is roughly $101 with a 15% tip. It is about 31.3 miles. There is a $0.50 night surcharge (8pm to 6am). There is a $15.00 surcharge for trips to Newark Airport."
Taxi ride is about 1hr-1.5 hours depending on traffic conditions.
JFK_E

Take Airtrain from any terminal on track 1 to Jamaica Station( be careful - on that track there are two alternating trains going to different routes; check the sign above the doors as the train arrives; the red colored sign is Jamaica one). Then either:
-take subway line E to Penn Station or
-take LIRR to Penn Station(faster but more expensive)
Walk to PATH station and there take PATH train towards Journal Square. Get off at Pavonia/Newport stop. Walk north on Washington Blvd to you hotel(455 Washington Boulevard).
JFK_E

The easiest is probably NYAS(New York Airport Service) bus, which goes express from PA bus terminal to any terminal at JFK for $15/passenger.
Subway E(direction Queens) to Jamaica Station and then Airtrain to JFK is the cheapest - $7.25 /passenger.
JFK_E