While having both bantam Brahmas and bantam Cochin, here are my observations. I have had two bantam Brahmas go broody out of three hens...and so far, out of 8 bantam Cochin, only one has gone broody. Now as far as personalities, I've noticed while raising chicks of both breeds, the Brahma chicks are more skittish and less interested in being held, while the Cochin chicks will eventually start coming to me when I open the door, letting me pick them up and will stay sitting on my hand. One Cochin girl that I hatched out will follow me around and I have to literally be careful not to step on her. She is the same one that would fly onto my arm when I reached into their brooder. I've also noticed that when raising more chicks together, they obviously get less individual attention, so they are more skittish. On the other hand, my Brahma roo is very nice and easier to catch than most of my Cochin roos. However, it seems that just depends on the personality of the individual birds...one Cochin roo is very friendly and not that difficult to catch. None of them are mean or aggressive, whatsoever.
Take care,
Kristen