Thank you everyone for the crazy awesome suggestions!!!
We are working hard to be able to move in a few days early. They are actually taking the whole month of July to reno our new place, so we are crossing our fingers that they get done early. If they do, the landlord said we could start moving in!

The car ride will be all of 10 minutes But, I will definitely be using pillow cases + containers for anything overnight. Love that idea. They already have their travel Tupperwares normally when they go for car rides (which has been not even a handful of times), they get their favourite hide with some substrate in their containers. But they are getting big now and it's not easy to fit hides in... so, pillow cases sound great!

You guys are the best!