I've always been partial to BA's too.
First determine your goals. What are you trying to accomplish by breeding them? Are you breeding them to show? Or do you want to try to preserve the breed? Get the SOP so you know better what you should be breeding to.
Do you want to improve their egg laying? Determine what traits you'd consider an improvement and select your breeders based on that. That could be egg size, egg shell color, frequency of laying, laying in winter, continuing to lay as they get older.
Are you looking at them for meat? What traits would make them a better meat bird for you? Is it pure size? At what age do you butcher them, size at that age might be more important than how big they will eventually get. Do you prefer dark meat or white? You can select your breeders based on conformation. Do you let them forage a lot or do you buy or grow most of what they eat? If you are providing most of what they eat then feed to meat conversion rate may be fairly important to you.
Do you want them to go broody? If so, hatch eggs from a hen that goes broody and save them for your replacements. If you don't want them to go broody don't hatch eggs from a hen that went broody.
I personally select based on behaviors. If a chicken, male or female, disturbs the peace and tranquility of my flock it gets eaten. I'm convinced that some behavior is hereditary and some is learned so I don't let bad-behaving birds breed.
If a bird shows up with a physical problem don't let it breed. Crossed beaks, crooked toes, or any other deformity means they don't breed. One that is prone to injury doesn't make the grade. If one lays defective eggs it is gone.
Hopefully you get the idea. Decide what you want and breed toward those goals.
