There are a lot of possibilities, and I agree with the others that people friendly chicks come from proper handling as they grow.
However, some breeds are a lot easier to tame than others, and it can also depend on the source or line you get them from.
I've had two separate batches of Buff Orpingtons, and they were always cranky and lazy. Neither friendly nor good layers. I've had others in my area note that too. It boils down to the hatchery the feed stores are getting them from, so ask around in your area what a particular feed store source or breeder line is like.
You can see on the linked Henderson's Breed Chart below what are typical characteristics.
Choose a bird that is noted for well adapted to confinement. Then, buy young chicks and handle them properly. That doesn't mean always trying to pick them up as that can frighten them. Their natural prey instinct will run away from a large object swooping down from above. That usually reinforces human fear and flightiness.
Win their hearts through their stomachs. Be the "treat" person and let them come to you. Then as they adjust to your presence, the bolder ones will allow being handled which will encourage the shyer ones as well. Soon you will have those who won't leave you alone, but respect those who still prefer their space. Birds are individuals as well.
From your goal of pet quality first then eggs, you may want to consider Favorelle, Orpington (from good lines), Wyandotte (from good lines), Buckeye and Dorking.
If you want to lean more to pet than eggs, hands down bantam Cochins and Silkies, who have surprisingly been decent egg layers....when they aren't brooding...which means for some cranky hormones in the Silkie. My bantam Cochin have been completely docile at all times.
Leghorns, Cream Legbars, and exotics tend to be flighty. Rhode Island Reds and Delawares can be aggressive.
Barred Rocks and New Hampshires can be curious birds which at times can be bothersome to the point of almost aggressive. I find them endearing.
Hybrids vary depending on the source. Easter Eggers are hybrids so each bird will be unique depending on the source.
Here's Henderson's Breed Chart.
http://www.sagehenfarmlodi.com/chooks/chooks.html
Let us know what you finally get and how it is going. Pics are always fun
LofMc