Calling all cat lovers

My cat is a freak. Well, one of them at least. "Amos" has decided that he never wants to be off my lap. This becomes a problem when he curls up in my lap and places his upper body on my book, keyboard, plate of food, whatever. When I shove him off he whines, circles my chair, and is back on my lap in 2 seconds. I think that I will get one of those baby carriers that mom's strap to their chest and put him in that. It will either make him very happy or he will decide that perhaps hiding under the Christmas tree is the best place for him. What do you think? Will this work? Will it at least get the cat hair out of my dinner plate?