score:10
You can use child carriers like the Ergo Baby carriers for transporting your infant on and off the plane, but they not appropriate to use while seated / seat belted. Once you are on the plane, the safest position for your infant is in a car seat (but that means buying a seat for the infant, unless you are lucky and have a half empty flight) or being held in your lap.
You never want to buckle your seat belt around yourself and the infant. Some airlines have a second little seat belt that attaches outside your seat belt for the infant, but these are not real safe and not allowed in some countries.
Upvote:4
Some airlines/airplanes have dedicated spaces for baby cradles/bassinets, usually placed in front of the seats at the border between plane sections. This is true in particular for long-haul flights, since the planes tend to be bigger. Each airplane has its own mounting system with the compatible bassinet. Below is a picture of what I am talking about:
These bassinets are usually installed during the flight, and are removed during take-off and landing. Often if the seat is taken by people who might not need the feature, these might be asked to move to another seat to accommodate parents and their infants. (I know I was asked to move many times.)