People who take birds to shows travel with them all the time. That distance isn't too awful bad. This time of year is ideal because it isn't 10F as might be in winter and isn't 90F as it might be in summer.
Here's what I do. I do not feed them or water them on the road. It's too much trouble. The birds can go 24 hours without food or water, no problem. If you transport them in cardboard boxes, with lots of air holes, they'll be just fine. Mostly they sleep if the box is relatively dark. If they eat and drink well the day before, they'll be just fine. You can go into the coop and pick them off the roost, one by one. Don't wake up the whole bunch. I use a hat light just so I can see a little bit. Once they're boxed up, it is time to go. If you're making the drive in one day, which I assume you are, you need to know there is a kennel awaiting on the other end. You'll want to free them from the boxes, allow them to eat and drink and settle down.
This is done all the time. I'm glad you're going to take your birds with you. Best wishes for a safe transition.
PS- I carry the bird boxes under the tonneau of my pickup. The stench is pretty strong if you carry them inside the passenger compartment. Just sayin'. To each his own. LOL You'd be surprised how many times they can poop in 8-12 hours.
