Welcome to the forum from Louisiana, glad you joined.
If you have electricity to the coop you can raise them in the coop from the start, so if you have power out there you can move them any time. Some people don't like to raise them in the house because of the dust, noise, or potential smell. So if you have power out there you have options.
Most chicks are fully feathered at around 4 to 5 weeks. If they are fully feathered they can handle some pretty cold (to us) temperatures. I've had chicks 5-1/2 weeks old go through nights a little below freezing. In summer I've had broody hens wean their chicks at 3 weeks, leaving them to get through nights with lows in the 70's on their own. Those chicks can be a lot tougher than many people imagine.
I hesitate to give a straight age-temperature chart, some other things come into play. If you feed them a high protein chick starter they will feather out faster than if they are eating a low protein feed. If they are exposed to cooler temperatures they feather out faster than if they are kept in tropical heat. Your coop plays a part too. They need good ventilation but you do not want a cold breeze hitting them directly. I don't know enough of your details but I'd consider 4 to 4-1/2 weeks to be a good target. And try turning the brooder heat off of them now and see how they react. If they are in your house they probably don't need any heat now.
If you post photos inside and out of your coop we may be able to better address those questions. And once again,