I've taken cats on similar journeys - longer journeys even - many times. I used to take cats on UK holidays with me and I even took Twoago on a car touring holiday once. (He was very bonded to me and probably wouldn't have eaten if I'd gone away for an extended period.)
I've always done it very matter of factly. They go in their carriers and the carriers are then secured inside the car in some way so that they can't move around - especially in the event of a road issue. (Best decide on that beforehand - human luggage can usually be minimal but you don't need to fill the car up with stuff and then find you have nowhere to stow and secure the carriers appropriately.)
Then I cover the carriers with a light coverlet to help their feeling secure but in such a way as to allow enough air and to give them a sight of me if they want.
They likely won't want to eat or drink during the journey, or to use a tray, but I'd take some food, water, bowls etc and a ready made litter tray just in case along with some kitchen towel and a few carrier bags in case of accidents. (Even if they don't use the tray during the journey and cross their legs it's always good to have a tray made up and to hand in the car - if nothing else, you can bang at least that one into the room they're to go to at the other end as soon as you arrive and get them in there and safe while you unpack and potter.)
Some posters have had good experiences with eg Feliway spraying and puppy training pads on the floor of cages so they may have suggestions on those. I generally just use a big fluffy (washable) towel for cage bottoms and carry a couple of those in a plastic bag in case of accidents.
It's not going to be their favourite moment but it should be quite doable. I've found that mine moan a bit for the first 10 minutes and then hunker down to grit it out with the occasional yowl just to let you know that they're still there. (I'd recommend a quick acknowledgement of any yowls but not much tea and sympathy.)
One important thing - don't ever let them out of their cages while the car is moving and unless the doors and windows are securely closed. The last thing you need is a loose cat in the car in the event of bad traffic conditions or a spooked cat at large on a motorway service area.
Will you have their accommodation at the other end sorted out so that you can get them in there right away to recover their equanimity?