I move chickens back and forth on 500 mile trips many times a year. Show people often transport their birds this far as well, with some regularity. The difference is that we are set up for this. We have travel boxes. Various sizes for different birds.
I often sell birds to folks who live 2 or 3 hours away. It isn't a problem. 45 minutes is a quick cat nap for them. Unless you want to invest in a bunch of crates or travel boxes, I'd likely use large cardboard boxes. Punch a bunch of air holes with a tool like a large shaft screwdriver or sharp instrument of some kind. Plan on moving in the early morning or later in the evening. Summer is coming and heat is your enemy. Run the AC in the vehicle if possible.
Choose a box that will hold 4 birds each. Ten boxes. If the air holes on the sides, you can stack the boxes. Have lots of helping hands. Catch them, pack them, load them, then go go go. 45 minutes later they'll pop out of their boxes in their new home.
People ship birds across the county in cardboard boxes designed for shipping chickens. They are pricey. But the bird sometimes spend a day or two in them. You'll only have them in the boxes for an hour, with good planning.