let me break it down according to genus..
pyrrhura conures are the best kind to have around a family, they are less jealous and less temperamental.
Aratinga conures can be really mean to certain family members, and become jealous of young babies.
i've also heard of aratinga conures trying to hurt anybody that gets close to their specific family member they bonded with.
in my opinion, green cheek conures are the most versatile conure for a family.
the only aratinga conure i would recommend for a family pet would be the dusky conure,
they are extremely docile, calm, quiet, and fun. they are also known to be less nippy.
they are also great birds for people that work a lot because they are cuddly and will stay in a happy hut all day even given the opportunity to play with toys.
if you get a green cheek, go for a cinnamon. they are less nippy, calmer, and docile. i dont know why..but they just are.
also, even though your children can probably handle the bird while you are at work without any problems, i would recommend getting a lock on the cage, with a combination not a key. you never know when a child might accidently startle the bird, causing a blood feather in which they can bleed to death.. or even worse, you have an extremely tame bird and your children get over confident and have an escape.