I will offer you what I was told. To keep the chameleon from seeing... I put paper all around the container and she just held on to her secured stick which I taped with masking tape inside one of those plastic toodlers. lol Take some pedialite with you and keep trying to make sure he drinks. Travel makes them thirsty. My friend puts his on the floor of the car next to him. Hope that helps.
I think she meant for you to offer the pedialyte once you arrive at your new destination. It would be best to keep the cham in the dark the whole time. Make sure it is secure, the temps are ok, and the container does not move during the trip.