Just a note about bringing strollers on planes (we're bringing ours since it reclines etc. for the 11 month old and also renting one for the 3 year old).
I actually like having the stroller at the airport too and you can just gate check it. If you haven't done this before, you just bring it all the way to the gate with you, tell the counter people that you want to gate check it, they'll give you a tag, you leave it down the walkway right before you get on the plane and then it's there waiting for you in the same place when you land. (The airport people stow it somewhere on board in the same place wheelchairs go).
So it's not too big of a deal even if it's a large stroller.