You don't need a water bottle during the trip, even a trip that long. It will just leak and get her all wet. Put her in the carrier a day before you go so she can get used to it before the trip.
If you are traveling during the summer months make sure to precool the car before you put her in it, keep her out of the direct sunlight, keep the radio down in the car, and never leave her in the car with it off.
Take a cooler with frozen bottles of water just in case you have car trouble and need to keep her cool.
If you are traveling in cool weather you won't have to worry.
Keep in mind that she will be nervous in her new house so change her shavings a day or two before you go. Then the day you leave bag up her day old used shavings and place them in the cage at the new house. Or use the shavings that were in her carrier during the trip. It will help her to have her own scent in her cage when she gets there. Give her time to adjust before you try to take her out of the cage.