If your bird isn't healthy, the only excusable travel is to an avian veterinarian. The bird should be in a hospital if it is at all weak. Most birds would rather stay home with a caring sitter and see your when you return. If you really must take a healthy bird on a car trip, it can travel in it's cage. Remove hanging toys and swings to prevent a concussion or eye injury.
Water invariably spills, presenting a health threat.
If it's only an hour long trip, fill the dish when you arrive. If the trip is to last longer, fruit or other juicy food supplies moisture until you take a driving break when you can offer a drink. We've found our birds don't eat while the car is moving, although food is always available. If your trip will be longer than one day, plan a break around dinner time, make sure it's light, and let the bird eat for as long as it wants. This is time to fill the water dish.