When we flew for the first time (also short flight, baby was ~11 months) we had her in a carrier (ergobaby) and she fell asleep. I don't know if you planned on booking an extra seat or not, we didn't since it was a very small plane and there were no 3 seats in a row and also we didn't come by car (so bringing an extra maxi cosi would have been a nuicance). If you don't, you get a kind of extra seat belt to attach to your seat belt so the baby sits on your lap. What surprised us is that they didn't force us to take her out of the ergobaby but looked at us, basically saying "noiccce" with their eyes, and let us just sit like this. It was insanely more comfortable and actuallt more secure than with that seatseatbeltbelt consturction. I guess they realized this, I mean the baby is completely strapped to my body. Anyway, I was very grateful that it turned out there was no policy about having to use the seatseatbeltbelt and prohibiting the carrier. This way our baby was secure and slept for most of the flight (also on the way back. She slept 50/60 minutes one way and 60/60 the other.) The other obvious recommendation is breastfeed (/bottlefeed) on the lap during takeoff and landing.