Don’t underestimate the impact of the other family members on the new arrangement. It is important, that every family member agrees on a common approach to the new kitty: calm, quiet and sparingly in the beginning.
As exciting as a new kitty might be – especially for kids – the kitty might be everything else, but scared or at least irritated. In the first couple of days, give your new furry friend some time to get used to its new environment and new family. Later on, agree on a fixed time to have someone cleaning the litter box and refilling the food and water bowl. But most important, if you have a big family with lots of children, ask them to not chase the kitty, pull it on its tail or legs, to not constantly carry it around and to watch for the signs, when the kitty starts getting annoyed (see Behaviour in Cat 101).