Your Pumpkin looks just like our barred rock chickens. This is a picture of our laying pullets (8 months).
Our cockerel Cuddles actually didn’t look much different than the pullet until his tail grew taller (about 3 months). Even when he started crowing, when he was 2 months old, we were not really sure because he still looked so much like the pullets. He was a very ‘sweet’, affectionate, outgoing cockerel and our ‘favorite’ until the pullets and hens brought out the rooster in him when he was about 6 months old.
In our experience, instead of figuring out what the right ratio is, it is better to focus on the nature of the cockerel and the type of flock that fits in your lifestyle.
We humans like creatures that are cuddly, begging for attention and following us around as a puppy. This is probably why Pumpkin is so sweet in your daughter’s eyes. But the needs of that sweet creature will change. At some point he wants you and your kids to leave his hens and nests alone. He doesn’t appreciate you cleaning the coop. Because in his protective rooster eyes you are disturbing his territory and it is in his nature to protect that. But when he turns on you, in your eyes, sweet Pumpkin turned into this aggressive ungrateful monster. This can be heartbreaking after all those months of extra love and affection you gave him.
So, we also experienced that the most affectionate cockerel turned into the most demanding, dominant and aggressive rooster. Over the past 6 years we re-homed 7 cockerels/roosters until we found the right match for our free ranging flock.
In your case, you want eggs and pets. So, I would recommend re-homing all the roosters (especially with your young kids). When the pullet become hens they become more affectionate, tame and lovable, whereas the cockerels become the opposite when they become roosters. Even in the best case scenario, when a rooster is not aggressive, they will need an alpha flock leader and can never be left alone with young kids. Because they can easily hurt someone with their sharp beak, talons and spurs even when they just want to peck, scratch the food out of your hand...That gentle little harmless cockerel has transformed forever...
I personally love roosters and we always have one in our free ranging flock. It is endearing to see a rooster calling his hens when he finds a tasty insect. He will always have one eye to the sky and is always very vigilant so that his hens can forage without worry. But it took us a couple of years to get the right flock and rooster. Knowing the breed is not enough. Each chicken has its own personality that has to match with your lifestyle and personality.
Enjoy your lovely flock
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So I said WHAAA, WHY? Now I hate to have to perpetuate it. But it is a possibly reality that DID get me. Though I know not all will behave the same... not worth the risk. But at least putting it on peoples' radars will help them to make a semi informed decision. 
AND this is true for the hens as well. We can call them friendly if we want. But it's usually on their terms.
