I have all three breeds and here's what I would say...some say the Buffs aren't as good layers as the three, and they are prob right.  I get at least 4 eggs/wk from the Buffs, and consistently get 5-6 eggs/wk from BR and RIR.  My RIR are actually Production Reds, which I think are better in temperment and seem to have a slightly better feed/egg conversion ratio.  BUT...my Buffs are consistently going broody and can be quite difficult to break..I had to build a separate "broody-breaker" pen just for them.  So if you want to hen-hatch chicks, the Buffs would prob be the way to go.  I used to hen-hatch a few hatches, but I was getting a high-mortality rate after hatch, plus the loss of production for 21 days off that hen.  I found even the cheapest incubators could give me better hatch rates than a hen and the hen could keep on working for me.  I still like the Buffs a whole lot, they are excellent chickens.  They free range well, don't fly up in the trees at night, the roosters dont chase my 4 yr old, and generally dont give us any problems other than the broodiness issue..I have 27 varieties of chickens here at our facility and they are on my top 3 favorite list.