Yes, your chicks are ready to begin entry into the flock. But you do need to take precautions
Chicks need hiding places and get-aways. Something as simple as a tree or shrub branch with leaves still on tossed into the run will serve as a hiding place. A table or chair will serve as a high place to evade the adults. Extra perches in the run are even better.
But the best thing you can do to insure the safety of your chicks is to rig up a panic room. I got the idea ten years ago when I had but two adult hens and three chicks. The hens were scarfing the chicks' food so I made a little enclosure out of chicken wire in one corner of the tiny run. I made the opening just large enough so the chicks could get through but not the big girls.
Since then, I've perfected the panic room by making portals in every partition in my run with one sectioned off space where the chicks can find refuge and relax and eat and drink without any harassment from the adult flock. I even brood in this space now, and my chicks grow up from day one in close proximity to the flock, making integration a breeze.
The secret to a successful panic room is to have it large enough so a grown hen can't stick her head inside and eat the chicks' food, and it should have more than one entrance so a chick can get in if one entrance is blocked. Adult bullies will do that.
Look at my article on outdoor brooding linked below and you'll see photos of my panic room.