If you decide to take the car seat on the plane, and yes I do advise it there are a few things to make it easier. If you can, have one person in your party board the plane before you and the child and have the seat installed. You are the child arriving a little later.
Also, there is a company (try one step ahead) that has backpack type straps for the car seat. We borrowed this from a neighbor but what a back saver, you just attached the straps to the carseat and threw it on your back. It was easier than dragging the heavy seat and it's straps through the terminals.
BTW, I think someone mentioned it but the carseat needs to be next to the window, in the carseat they are raised up enough to be able to see out.
Hope this helps.