A good friend of mine moved to Switzerland with her tortoise, and got him a pet passport to do it. Or was complicated and took awhile, but she did it. It should be a little simpler with a bp because unless it's a bel or something it has obviously unique markings - my friend has to paint an indelible on her tortoise's shell that could be identified by in order to get the passport.
She flew with him, but he still to be"checked" - the airline wouldn't allow him as carry on. If you do that, the animal still should be packed as for shipping, with heat/cooling packs as appropriate, but should be out of your control for hopefully a lot less time.
No it's not simpler it's a lot more complicated and expensive, BP require CITES so it's a different ball game.
Again $1000 between paperwork and shipping and it must be done by someone with experience (exporter)