At the risk of causing at least half a dozen face/palms, I want pretty chickens that lay lots of eggs that won't tear the nieces and nephews to ribbons when they chase them down and pick them up. We have 6 golden commets that came from Meyer Hatchery that are pretty perfect, but I'd like some different breeds/colors in the hen house. I don't want to breed anything. Just cute chickens and lots of eggs.
In the real world, the "cute" chickens, such as silkies, frizzles, EEs, won't be the ones that lay a lot of eggs. Same with the very docile breeds that allow constant picking up(Orpingtons). Would you settle for simply beautiful and great egg laying? Black Aussies are sweet, lay long and well, are hardy and versatile. They are glossy black that glistens into purple, green, and blue in the sunlight. They are easy to come by and live and produce a long time if managed properly.
White Rocks, snow white, beautiful lines and regal bearing...will NOT allow any picking up. They will lay long and well, are good mothers, hardy to the max and are heavy birds.
RIRs, same as the above but not heavy built as the other two...simply beautiful and richly red, good layers, some are very friendly and moochy, some are not.
Barred Rocks, Speckled Sussex, Brahmas, etc. can add a little color to the mix and are all great layers.
It isn't advisable to let your children run and chase and pick up unless you are also prepared that they will get clawed or pecked. That's the reality of chickens...you can't train them like a dog to not bite children and eyes are a particular attractant. When little kids hold a chicken, the bird is close to eyes...when we hold one, not so close.