Yes, it is safe and economical. Your luggage is inspected for perishables and picture taken. Picture ID required. I suggest you put a small pad lock on it if possible. But I've stored items from a few hours to several weeks and nothing has ever been stolen. Recommend Terminal 4 storage because its 24/7. I hope this helps. For planning sake, allow an EXTRA hour to retrieve bag and get to your departure terminal. ERA
Luggage Store @ JFK