Personalities vary between individuals, but I highly suggest the more common small to medium size breeds as pets for children or in families with children. Polish and Mini Lops have fantastic, docile temperaments. Holland Lops are very sweet too, though more energetic. Jersey Woolies have great temperaments, but longer coats that require a little more maintenance.
Are there any breeds that interest you in particular? There are so many that it's hard to generalize. But if there are a couple you're interested in learning more about, I'd be happy to give you a better idea of how they may fit into your family. Even though individual personality plays into it, there are breed generalizations that are helpful to know as you're searching.