Wow, after hearing all the horror stories of damaged instruments in shipping, I would say bubble wrap or foam on the inside of the case and nothing should be loose enough to wiggle! Then do the same outside the case, so the case is cushioned on all sides, and can't shift around in the box! Tape it VERY securely so the pkg can't come apart after it is shipped! Mark it FRAGILE! In BIG letters then insure it! Do all that and it will arrive safely! Check it the minute it arrives and if there IS damage, take pictures and call the shipper immediately! You will be glad you insured it if that happens! Odds are though, if you cushioned it securely inside and out it should arrive fine!
"Reality is an illusion, albeit a persistent one".- Albert Einstein
Fiddlerman also has a video of how to make an easy cardboard support for the bridge so the bridge doesn't fall during shipping. I agree definally inssure it and make sure it's well wrapped. Also if you can afford it make it the fastest shipping possible so it doesn't get let out in the sun or high heat waiting for the next stop to try to minimize varnish damage and cracking potentials.
Lead me, Follow me, or get out of my way!
~General George S. Patton