Totally agree with all of the above and yep, integration age does depend on your flock's personalities; I usually start integration around the 10-12 week mark and with the method I use, it takes a couple of weeks.
Howdy Ch1ckChick
Sadly I have to agree with oldhenlikesdogs in that I do not think the chances of successfully introducing chicks to non broodys is high and I am more inclined to it being a very sad outcome.
As oldhenlikesdogs has suggested, you could brood them until they are bigger and...