Thanks, I did check on them and they seem great except their size, they will eat more $$
I don't know if you're going to find this Xanadu chicken. Something good always comes at the expense of some other good quality.
In general:
1) Bigger chickens and some bantam breeds tend to be more docile and good with children.
2) Middle/lightweight Mediterranean breeds have great feed/egg conversion but are almost always flighty, wily, cunning, love free ranging and typically have aggressive roosters
3) Bigger chickens don't always lay bigger eggs (like Orpingtons vs Leghorns) nor do they lay more eggs than smaller chickens (Jersey Giant vs Leghorn)
If it lays huge eggs all the time and isn't terribly big, it's likely flighty and/or mean. It is certainly not likely to be the most personable, sweet natured, fluffy friendly girl or guy on your farm, and you'll likely have a very tough time trying to catch it. If it lays medium-to-jumbo eggs a bit less often, it's likely a bigger chicken but probably more docile, more attractive (and fluffy). If it lays a variable amount of small eggs, it's likely a bantam (which can still lay large eggs for their size and quite a number of them--particularly if the parent breed was an industrial strength layer like Leghorns and RIR).
Consider a mixed flock so that you get plenty of egg revenue but also personality and docility. Every chicken is different, and one person's experience with a breed is likely not to match yours. For instance, I had great luck with RIR, Gold Comet and ISA browns (all RIR or derived from them). My girls laid an egg a day and none were human aggressive or even bird-aggressive unless I was suddenly adding a newbie. They all had very distinct personalities, and the RIR were particularly fluffy, friendly and gorgeous--even our rather large (and hilarious) rooster. So far, my Welsummers are similar of personality, but the rooster is especially 'chill'.
Also, consider ducks. My ducks lay giant eggs all the time. I have Rouen, Pekin and Swedish Black that are currently laying (except the Swedish who's broody). I've heard of people getting mondo eggs twice a day from Pekins (no clue how they do it; maybe somebody had a freakishly good layer). My Pekin lays eggs that put chickens to shame. They don't fit in jumbo sized chicken egg cartons, matter of fact. They're great for baking and omelets. For feed conversion, I've heard lots of good things about other laying breeds of duck as well. Also, properly handled, ducks are nearly unbeatable pets, and *BIG PLUS* they can't really hurt you, even if they do decide to become aggressive. They will never draw blood on anybody ever (very much unlike aggressive chickens). Even though mine don't particularly like being handled, they're hilarious to watch, and their eggs are tasty.