having a cat with your child wont be a problem, it's more likely your child will terrorise the cat. My 2 year old used to think it was funny to pull the cats tail, she is lucky the cat never nipped her, it was 6 months old when we got it.
kittens are very playful and will scratch without meaning to.
I'd be more concerned about other things like the time and costs and vet fees of looking after a cat well, also any behavioural issues that could prop up. Many people told me it was cheap as chips I didn't find that to be the case. Our cat had urinating problems, which can be kidney related in cats, but after all the expensive tests it was a behavioural issue. Vets said sadly it is very common and to try xyz changes in the home, which we did nothing worked. Despite that I kept her for another year just hoping things would change. It didn't I had to rehome her, she was peeing around the house,when Iwas getting the kids dinner fixed or getting their breakfast it became too much for me to cope with.
lets rule out the urinating issue for you for now, but who will clean the cat tray. I did mine daily sometimes twice a day because I have small children. Got into arguments with husband because he refused to help, hed be watching a programme id be cleaning cat tray straight after having put the kids to bed.
Then I had to play witht he cat, I had a breed which required lots of attention. So she had lots of toys she could spend hrs running up and down the stair like a dog to fetch the ball. Fun times not so fun when you're tired lol
Then the grooming.
I do miss her I would advise getting a cat if you have the time and money to do it otherwise leave off till the children are older. I am jealous of people who manage to do it but my hands are full. I'm happy with my Oranda goldfish, but I have had my eye on rabbits, husband is at his wits end lol