We took our Jane Matrix car seat and Jane Rider pushchair away with us to Turkey. I bought a double stroller bag from Kiddiecare.com to put our pushchair in and there was loads of room inside it to put extras ie blankets, our coats, cosytoes, toys, the hood and cover for the car seat etc. Our car seat didn't fit into a bag sitting up or laying down so it went into the hold uncovered the same as all the other car seats.
I have to say that all the pushchairs and car seats get looked after really well. At Gatwick the car seats go into the oversized baggage area (along with golf clubs) and they get taken to the aircraft seperately from the other baggage. The pushchair (and bag) we took with us through to the boarding gate. We packed the pushchair away in the bag and before going through the actual boarding gate. There was an area to leave the pushchairs and they then get taken to the aircraft and are loaded onto it last along with the car seats. The same happened when it came to leaving Antalya.
On our arrival back at Gatwick I collected the car seat and pushchair at the oversized baggage collection area whilst my husband collected our suitcases. In Antalya the car seats and pushchairs came through the carousel with the cases.
One thing I'm glad that we also took with us was our Mamas and Papas baby carrier. It came in handy to put her in whilst we were walking through the airport when we left the aircraft and went through customs etc whilst we waited for the pushchair and cases.