I’ve been in this situation few times. The first time, I stayed at the airport and didn’t sleep at all because it was too crowded and noisy. The second time, I booked a room at CitizenM, which was much better. There are plenty of guides about Amsterdam Airport (AMS) covering restaurants, hotels, and so on, and I chose this particular hotel through one of those guides. CitizenM is connected directly to the terminal via a walkway, so you don't have to go outside at all, which is invaluable when you arrive after midnight with heavy luggage. I also considered Yotel. It's also inside the airport, and you can book a room for just a few hours instead of a full day. Which would be ideal for you.