Bruce Wayne, doing an interview after his secret identity got leaked: "Yes I've been operating for several years-- what? Why do you look so horrified?"
The reporter: "It's so weird hearing you speak without the Brucie voice."
Bruce:...
Bruce, changing his voice to be more amused and higher pitched: "Can we get back to the interview now?"
Dick is probably the nicest civilian ever when he’s in Bludhaven and all the little old ladies who bring him baked goods and his coworkers at the station have no idea he spends the night beating criminals half to death with his escrima sticks, has the kind of insane family & family loyalty you can’t buy, and would have the entire Justice League at his side with just one phone call.
Batman is so quiet that he even startles Superman. Clark always jumps and exasperatedly yells at Bruce, "Stop doing that!"
It honestly kind of terrifies the rest of the league that Batman can get the jump on a man with super senses.
One Day Flash asks about it, if Superman has any idea how Batman always manages to sneak up on him.
Clark sheepishly has to explain that he knows Batman’s there, but he doesn't want to hurt his feelings. It wouldn't be nice, so he pretends to be surprised.
Clark would never admit this but when he found out Batman’s identity there was a small part of him that was disappointed that his fantasy threesome would never happen
I like to imagine that sometimes when bruce is really, REALLY tired he’ll accidentally slip into his brucie Wayne persona in front of the JL while in Batman costume. Like maybe Hal makes a joke about Batman being ugly because he always hides his face and Bruce just says “I’m still prettier than you’ll ever be” in his most himbo ditzy voice ever. And then he just goes back to normal Batman brooding.
The rest of the JL just stare at B for a solid five minutes but he’s already back to his normal Batman self.
Everyone knows how much Batman cares about his kids. They may not all get along with him all the time, but it's obvious that there's nothing that the Dark Knight won't do to keep his bats and birds safe.
When Danny gets taken by the GIW, Jazz, Dan & Elle - acting as regents of the Infinite Realms while Danny is out of action - find themselves using this fact to try and force the Justice League's hand in helping them.
(The Justice League, it should be noted, have no idea about anything going on with the GIW and the Anti-Ecto Acts. Everyone in Amity has been led to believe that the JL has just been ignoring them.)
They don't want to do it, but their options are limited. The Realms are howling for blood and its either declare war and obliterate the human race or try to get a little sneaky and a lot underhanded. So they decide they're going to force Batman to help them by kidnapping as many of the BatKids as they can and holding them hostage until their demands are met.
Superbat parenting babies would be a breeze in my humble opinion. Bruce's medically well-versed enough and immune to even enhanced interrogation levels of sleeplessness, and loves kids and would probably be happy reading them stories to sleep every night.
And Clark could always tell if the kid swallowed fridge magnets/batteries/something else. Also, tell me which baby wouldn't enjoy Clark's presence and calmness. They'd be like little hamsters cajoled by the steadiness of his hold.