I have 30-ish Brahmas. I have one dark Brahma hen, about 7 years old. While she is not a lap chicken, she is very friendly and will come when she is called. She is also housebroken and lays an egg in our house almost every day. She would lay a little later every day, until her last egg was about 5:00 p.m. Then she usually skipped the next day, but the day after that as soon as I opened the coop door, she was running to our front door to be let in to lay her egg. Now she is older and only lays occasionally.
I have one buff Brahma hen, also about 7 years old. She is a touch-me-not, but still lays eggs faithfully, about 5 eggs weekly.
I have numerous partridge Brahmas ranging from pullets to 7 years old. Some are lap chickens, some don't like to be picked up. Again, they lay approximately 5 eggs weekly.
I have 2 light Brahma hens, almost 8 years old. They don't like being picked up, but can be petted and again are pretty calm. One, Domino, also comes inside the house to lay. She lays probably 3 eggs a week, but she's almost 8 years old. When she was younger, she was a much better layer.
I have been experimenting with other colors. I have several blue Brahmas. Two of them are definitely lap chickens, one hen, one rooster, loving to sit on my lap for as long as I will let them.
In my experience, they slow down in the heat of summer (we are in Florida). They pretty much stop for a few weeks in the late fall when they go through a major molt. The winter doesn't bother them, but again, we are in Florida so there's no snow or temperatures much below 20 degrees.
I have 4 broody hens right now. My dark Brahma went broody about 3 years ago, but hasn't been broody since. Others have been broody a couple of times a year.
Sorry for the long answer - I hope I covered everything for you!