You will be better off staying the night at a hotel next to LGA rather than the Ramada at JFK. Do not deal with the traffic from JFK on your day of departure from LGA.
Unless money is an issue, take a taxi from JFK directly to the hotel at LGA, and the hotel van to your airline's terminal the next day. It will be a major pain to take a bus and then wait to be picked up by the hotel's van at the LGA. To the best of my knowledge, the bus from JFK does not drop you off at hotels. The taxi will cost you $8-$10 dollars more and after a long flight from Europe, you don't have to spend more time waiting for a bus to get you to your connection.
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<font face="Verdana, Arial, Helvetica, sans-serif" size="2">"There are only two reasons to sit in the back row of an airplane:
Either you have diarrhea, or you're anxious to meet people who do."
Henry Kissinger</font>
[This message has been edited by Rssrsvp (edited 12-10-2001).]