I had a great stay at Miss Dy's 'Privacy Den'! I needed a place to spend the evening that was close to JFK and the Den fit the bill. Miss Dy was very responsive and gave clear directions for a late check in when my flight was delayed.
The Den is the basement level of an older house, but has all of the amenities you need and more space than a regular hotel room. The bed is very comfortable and the eating area is roomy. Miss Dy set out snacks, breakfast, coffee and teas. There is a small fridge and microwave for use as well. I found the Den to be quiet and I appreciated the separate access to the Den.
I took Lyft from Terminal 4 to the Den ($9) and the Q3 bus ($2.75) back to the airport the next day. The bus stop is just a two minute walk away and I was at JFK security 15 minutes later. I highly recommend the Privacy Den!