Choosing the perfect breed of chicken?

I just looked at all 3 at a site called My Pet Chicken and it looks that the Australorp is the one that fits what you need. The Langshan would be another that is good for a back yard pen, but is not as proflic a layer as the Australorp. Also the Langshan is getting to be a rare breed according to the web site. They are also docile, broody and calm. The Plymouth Rock is not a proflic egg layer as the Australorp and is happier as a freerange chicken, but will confine well. All three winters well. But if you are going for a good egg producer the Australorp is the one I would go with. We have some chickens, mostly banties and a couple of game hens. But in looking at these chickens, I would like to have about 3 Australorp hens and a roo for those times when the cost of eggs are skyhigh.