As long as the children aren't playing in the cat litter box, no. An indoor only cat is safer for everyone in the family as well, as it's not going to be exposed to parasites and disease the way it would if it were an outdoor cat.
Never trust a tall dwarf... he's lying about something.
Just remember kittens are destructive. They do not realize their nails are out when they are playing. You did not mention how old your children are. If they are tots, then be very careful. They will scratch, but not meaning to. They learn around six months to keep their nails in. Also they chew on electrical cords, so keep your computer off limits. They stop teething around 6/7 months old. I wrap my cords in aluminum foil until they stop teething. With a himmie, they will have fur balls. So a good hairball remedy food will be beneficial. Keep the kitten on the same food it is eating now, then switch gradually to the new food. Switching foods quickly will give them diarrhea. So do it gradually. 3 parts old blend, 1 part new. Then 1/2 old and 1/2 new. 1 part old and 3 parts new. Kittens digestive tracts are very sensitive and new foods will upset their tummies.