I live in Wisconsin and have my incubator and initial (6week) brooder coop in my house. My first hatchlings came one New Years and the next batch on Jan 27. They’re all doing great. My New Years chicks go to the chicken house Friday where I have a secondary / introduction brooding coop. This works out great for them. They will be 7 weeks old when they go out and fully feathered. My hen house is heated for the winter too so I keep it at a steady 55 F. By doing this I find my hens and pullets are less stressed.
I don’t know what state you’re in but having chicks in the middle of winter is completely doable. Just have to keep a close eye on the temp for the first few weeks.
I live in Vermont...I try to make sure that any babies I'm having don't hatch out in Dec or Jan since they tend to be super cold months. Usually if they hatch out mid to late Feb they are okay to go outside after a few weeks with supplemental heating for the super cold nights. I don't run heat in my large barn at all so the birds have to be cold hardy. It usually works out that they are ready to go out to the brooder in the barn by week three or 4 since they are mostly feathered by then.