Flying into JFK too late to make flight home that night. Will be flying out of LGA the next morning.

Is there any hotel that anyone would recommend that is in the "middle" or any other suggestions.

I've looked at maps and it seems either you're at a JFK hotel or a LGA hotel.

Is it better to stay taxi to LGA that night, and be close to the airport in the morning?? Does it matter? Flight is a 6 am flight.

ANY suggestions would be great.

Thanks
J.