Chapter 2
When Damian sees Bruce adopting another child (or looking like he might) the first thing he does is analyze. Who are they? What have they done to warrant his father's attention? Where are they from? Why do they wish to involve themselves in Father's crusade? Is there a chance of Damian being replaced? Why did father feel the need to bring in another soldier? Was Damian not enough? In order for any amount of positive feelings to be associated with the new arrival, Damian must first know everything.
Tim. When Tim hears of another child, he feels something. If he ever took the time to examine it, he might discover it to be resignation. He will do research. He will learn everything there is to know about the new arrival, their parents, their great-grandparents, 3rd cousins 5 times removed and all their friends and acquaintances. He won't feel threatened on a relational level: that would imply having something to lose. Being aware of how important his skills are to the cause (or at least somewhat aware) he isn't worried about losing his 'job'. But he knows that this kid will mean less attention to himself. Which is fine. He doesn't deserve the attention anyway: it's just an occasional surprise gift as a result of some particularly good work.
Jason doesn't connect with the family often. But he good and well expects to be informed of any and all new replacements. Once he hears about them, he will test them. If they go out on the streets, Jason will trail them (disguised, of course) and launch attacks. Perhaps even paying people to attack for him. The kid will prove themself. Or they will be hurt. If they do not pass the test, Jason will go to Bruce, and all the furies he can muster will rain on the man in every effort to get the kid released from a job they aren't ready for. No one else dies on the job. Not if he can help it. If the child does manage to pass, Jason will leave. Try, to an extent, to get his head in order. Discover how he feels. Probably something to do with 'angry'. Not that he'll try all that hard... Dick might even say that he isn't trying that well, but he does try. For a while. He doesn't like to think about it too much. He might pop by the replacement to see how the kid's doing. Not long or anything, but the kid thinks too much but doesn't think about himself at all, and someone's gotta do it. Another kid. Maybe Jason will like him. Maybe he'll try to kill her. Who knows.
Dick's first reaction to another kid is one of happiness. Another little sibling! Siblings are always things to celebrate. Dick chooses to feel this way. It's always an active decision to celebrate another child before anything else. Because that's the way it should be. The most important thing is the new child. The next is checking up on the family. Jason will be confused and angry. Tim will be depressed. Damian will be insecure. Bruce will be defensive. Alfred will be inscrutable, but Dick knows from past experience that Alfred will not be thrown out of balance, so he can afford to visit the other members of their patchwork family first. The first round will be done quickly, an inventory to make sure nothing gets explosive. Then, he will visit the new kid. Welcome. Evaluate. Dick will determine how to care for the child, how to protect others from the child, and most importantly, attempt to determine the effect the child will have on the family. And Dick will be happy. Pointedly, determinedly, purposefully: happy.
Alfred has seen many children pass through Stately Wayne Manor. He has seen many children, one way or another, leave it. He has seen the unbelievable, the predictable, the unstoppable, the malicious and the benign. He has never seen Master Bruce make a mistake in giving a child a home. He welcomes the children and conducts investigations of his own, both into their contacts, their abilities, and their favorite tea. He keeps an eye on his grandchildren and keeps two eyes on his Bruce, who stands off against the media, against the Justice League; against anyone who might result in the separation of him from his child, or anyone who might interfere with his chosen methods of upbringing. Alfred holds everyone together. He learns the most about the child. He understands the proper delegation of responsibilities in the matter of a new child.
He holds the family together in the initial discord so that Master Richard can sew the new child into the family and ensure continued relationships within the family. He learns how to strengthen the child so that they can be at their best to resist Master Jason. He leaves the extended investigation to Master Timothy so that he may have time to learn the intricacies of the child themselves. He allows Master Damian to provide the assault on the home front, to question the child on their motives, on their personality, to see if they can survive as a Wayne; if they are psychologically capable. And he regulates the matter so that Master Damian does not go too far. Alfred will observe the child to see if they are ready for Master Bruce to take them to the streets.
Bruce brings a child home. They need him. He may need them. He will protect them, challenge them, raise them to as high as they can be. They will become part of the family he has created. They will become hated and feared and accepted and loved. They will become a bat.