What I suggest for two groups of chicks several weeks apart in age is to set up the new chicks in a safe pen in the coop and brood them right alongside the older chicks. That way the two groups become used to being part of the same flock as the younger chicks grow up, making integrating a snap later.
 
By brooding the younger ones alongside the older chicks, it's possible to integrate them much earlier since they all know one another from the time the smaller ones were tiny and non-threatening. You might approach the integration much as you would if the older chicks were adults, by using a panic room. This is any kind of safe haven with entrances where the larger chicks won't fit.
 
It's possible to begin integration as early as three weeks with this method. I wrote about it in my article about brooding outdoors, linked below this post under "Articles".