M.S.
In my opinion it would be easier on him being at home but I would start getting him ready for it asap. If you don't have a litter box in there get one, so he starts getting used to it. Start feeding him and giving him kitty treats in there. Have the kids play with him in there so he has some positive reinforcement in that room. Hopefully you have windows with screens because he will need some ventilation. I would also put a fan in there. Water based stains and finishes still have an odor. The sanding machines will be loud and frightening so you will have to weigh that one out. Would he rather be at home for the loud noises or out and about in the carrier for the sanding? Mine would rather be home. Maybe someone could sit down there with him for that part? I would also get a sitter/friend that he likes, to come spend some time with him when you can't be there.