We recently flew with our 23 month old in a Nextfit on a couple cross country flights. Two problems we had, forward facing he kicked the seat in front of him. We held his legs down and he screamed. Rear facing the seat was not reclined and the person in front couldn't recline. Also, forward facing, the huge seat belt buckle was under his back. I gave the person sitting in front of us a heads up so they could choose kicked seat (with my futile attempts to stop it) or no recline. I personally preferred the rear facing install, because it was easier to do stuff for him and the tray table wouldn't go down over the seat anyway, plus I didn't have to hold his feet. He didn't really understand the in-flight entertainment anyway. He only napped rear facing, but fitfully, because the limited pitch between seats (yay economy class!) meant we couldn't recline the seat much at all.
We used a folding Samsonite luggage cart to transport the seat and our small backpack carry on in the airport.