I moved across the country with my Casper bed. What seemed overwhelming at first was simply solved with a shop vac, tape, and seal-able mattress bag. Very easy, took minutes to do.
We first cleaned up the mattress then put it in the bag. We decided to add shipping tape to it on the sides to make sure it was super sealed. We cut a small hole to fit the tube of the vacuum in and tape around that. Make sure you dont tape too aggressively because youll want to get the tube out and off in a quick manor to seal it up again.