Make sure plants are moist when they are packed for moving. They can usually survive for about 10 days without water. So you probably won't need to worry about watering them during the trip. If your plants are in ceramic or clay pots, those are heavy to carry and they're also breakable. So, it's a good idea to transplant your plants to plastic pots before the move. But even just moving them from one pot to another can be traumatic. So do this a couple of weeks before your move. That way the plant will get used to its new pot before it's put on the road.