At my rescue that I work at, we’ve had bonded pairs get returned to us within the same month 2+ times. That’s a lot of traveling and new places for bonded pairs to withstand within a 4 week period. I feel as though, if the bonded pair are traveling together in the same crate, and being equally put in the same amount of stress, they should find comfort in each other instead of lashing out and breaking their bond. It is actually pretty uncommon for bonded pairs to break up.
At the shelter we have pairs and trios coming in and out all the time, fixed and unfixed bunnies coming in, pregnant bunnies, baby bunnies, a lot of sights and smells for pairs and trios. Although all the bunnies do get spayed/neutered before they are adopted some hormonal bunnies do get housed next to trios and pairs for a week or two before their operation. Longer if there’s other issues (weight, dietary, etc). Hormones and a new smelling bunny are one of the worst stressors a bonded pair can come across yet we rarely have them break up.
My point is, if you take your time (yes be patient!), and you don’t rush things, and your pair actually bonds, you probably won’t have a divorce. Even with your moving. Keep them in the same crate (do your research, larger crates are not always better because if someone slams on the brakes, takes a sharp turn, etc, bun can fly into the side of the crate and break something), let them out I’m their new area at the same time, just don’t split them up in general (even at the vets), you will be fine.
However! If your bun becomes aggressive towards other bunnies when faced with the stressor of a car ride (super rare probably won’t happen) then maybe a companion isn’t the best idea because they could break the bond by fighting in the crate. I have only ever seen 1 bun like this and he was absolutely terrifying. He was the closest thing you could get to a predatory bunny and had to be put down due to injuries he sustained because he initiated an attack on a large dog. Like I said, super unlikely.