In general, treat cats with love and respect. They, like all animals, know how you really feel about them and will respond to that. How they respond depends on their personality, much like humans.
Young cats are full of energy like puppies or young dogs or kids and need productive ways to burn that off. Cat toys that work for your cats are a good place to start. Toys that focus on stalking skills. Get the kids to play with them and just make sure the cats don't get over-stimulated. Unlike a dog who cannot be petted enough, cats are more sensitive to petting and it varies by breed and individual cat. They'll let you know with a paw swipe without claws if a gentle sweet natured cat or claws out if more threatened or more ornery disposition. Sure sign a cat needs a break is agressive paw attacks or biting. Stop whatever you're doing and say no, but then leave them alone to calm down. If they're playing, once they've stopping doing that if they still want to play, resume and repeat as needed. Like kids, they will learn and respond with consistent and repeated actions around what works for you and what doesn't.
Male cats, like Male humans tend to be more stand offish and likely to react with anger or more rough responses. It's the testosterone. Gets better with age and love and respect. Without it, give the cats to someone who can do that and understands the cats personality.
Cats in general don't like being picked up - they feel vulnerable and are likely to squirm and jump or hiss or worse. And never pick up a cat on their back - paws up. Over time, with trust and the right disposition, some cats will allow or even enjoy being picked up if done properly. Pick them up and support them with your forearms and leave them space to jump without restriction is generally how to do this.
Cats like to be up off the floor. Get them a dog bed or cat bed and put it up on a desk or something like that off the floor. Makes them immediately calmer and more relaxed to have their "cat cave" space. You know what I mean. Same for high perches and areas with sunlight to sun themselves.
Young kittens are going to chase each other and break stuff. Same as little kids. Keep thiings you don't want broken locked up where cats and kids can't get at them.
Feed cats in morning and evening and then pick up the food. They like to eat at or around the same time as the family - they want and expect to be part of the family. Dogs are similar, but will eat anything anytime.
Make sure to clean the litter box daily. Cats HATE a dirty box and if not kept clean, they will pee elsewhere due to being disgusted. Get your daughter doing this chore as a responsibility building task. And clean anywhere they have peed outside the litter box with a pet oder cleanser, or they'll keep peeing their - marking their territory.
If the cats go outdoors at all, use frontline on them to keep ticks and fleas out of the house, but make sure you know where exactly to apply it or the cats will lick it off and you can poison your cat. Best to have a vet tech show you how to do this first time or maybe just let them do it if easier.
Check out My Cat from Hell for good cat behavioral advice.
my cat from hell full episodes - YouTube
Check out library/amazon for cat behavior books. You'll never realize how much you didn't know about how cats behave and why until you do.
To all those cat dissers, cats don't eat poop. Dogs do. If you're into poop eating, go with a dog.