Poorly chicken

[New chick owner]

I have four week old chicks who are starting to outgrow their brooder. 
I live in South Florida, USA where the daytime temperature is 85/90 degrees F and overnight is around 75. We have an eglu cube. The chicks are starting to become a problem with our indoor cat and ID like to move them out soon. Is there a way I can adjust the coop so that they are safe there? 

[Beantree]

It will be warm enough for them but the Cube isn't suitable for such young chickens. The big problem I see is the slatted floor. You will need to cover the floor with something solid so they don't injure themselves. Also they will need a solid ramp to the floor of the run, with sides so they don't fall off. Just have a good look at what could potentially be a danger and remove it.

[EZoverunder]

Sounds like they're ready for the coop. Just make sure it's draft-free, with plenty of ventilation, and provide a heat source for those cooler nights. They should be good to go, and your indoor cat will probably be very curious!