I would take a small travel cage. Something like a small cat carrier. Many pet stores also have small carrying cages, soft sided with mesh windows. Put some soft bedding in there, shredded newspapers or paper towels (no commercial 'bedding') just in case there are any sudden moves while you are traveling. More than likely he'll be ok without food or water for those two hours, but if you are worried about that, you might carry some small jars of food and water that you can give him at a stop on the way home.
Congrats on getting your little green baby!

You are gonna LOVE being a parront!