I haven't transported any longer than an hour, so keep that in mind. We use a small pet carrier for a single bird. I put puppy pads down for the floor. They have some texture so the birds don't slide around and absorb the wetness very well. I agree with doing a mash or food. Before the move you might train them to use a cage bottle waterer. I'm my experience the chickens will hunker down and not move much when the car is moving, so you'll probably want to stop often and give them a chance to move, eat and drink. Depending on how many you have, there is a soft dog kennel thingie at Walmart that is really big, about 2 ft square that is about 4 ft long.
When you're looking for housing, youll want to be careful about the place you choose to live. In the city of Denver you can have up to 10 girls. In centennial (I think) you can have 3. Other than those I'm not aware of any Denver metro cities where you can have chickens. However, its not hard to get at enough out of the metro area where you can have them and still have an hour or less commute. (I live about 35 miles east of downtown, the regular commute is about 45 minutes. I used to live 11 miles north and the commute was 45 minutes to an hour) If that is what you need to do, going east and west will give the shorter commutes. West is more expensive than east, but you're getting the mountains. East will be more like Texas, people and summer climate wise. In the winter east and north get snow, but not as badly as the west and south side of Denver.
Don't worry about the snow at all, its just the first of the season so everyone is excited. We don't get that much snow in the Denver metro region. Its cold a lot during winter, around 40-50 most of the time but its a dry non penetrating cold. We only get real snow (1+ inches) a couple times a season. I am one of the crazies, I wear sandals and dresses year round except the few real snows. I couldn't do that if it was as bad here as they make it out to be on TV.