Thanks for the replies.
One of my biggest concerns, too, has to do with how I'd manage to paint the underside of the hood and the doorjams. I'd really like all surfaces to be covered and can't see how that would be done with the doors and hood attached. The front part of the door, inside where the hinge is, seems it would be particularly difficult.
At any rate, thanks again. You've given good advice. Now to figure out which fork do I use for the elephant and which is for the salad?