For years I used a cardboard bike box from my LBS, just pack it the same way a bike is packed from the factory. Although now I have a proper bike box. I always phone whatever airline I'm flying with to confirm that I'm taking a bike, also check in as soon as you can. I've taken bikes all over the world with no real issues. It's not a stressful as you might imagine – obviously make sure you have good insurance for piece of mind.
Are you off to the White Room? If so you're in for some cracking riding and hospitality. The thought of Iona's homemade cake is making me dribble right now.