I'll mostly address getting chicks, but I have gotten a couple started pullets before (still have one in my flock) and you can't tell from her behavior that she wasn't here at the start. With chickens it's more about individual personality whether they will want to be close to you or not, so getting started pullets doesn't mean that you won't get some "pets" out of it.
That said, chicks are very cute (and really not as hard to take care of as people think as long as you set up to make things easier on yourself) and if your wife likes doting on cute things, I think you'll get outvoted and she'll want the experience of raising chicks.
We'll be in East Texas by then so not terribly cold....even tho it'll be 15 degrees here by Monday! Normally we have a pretty mild winter time. If we opt for chicks, the brooder will be in the house....pullets would be in the new coop/run. I also wonder how many boys we would get by surprise if we went with chicks.....
Unless you are planning to get them immediately, the temperature won't be an issue.
If you opt for chicks save yourself some work and brood IN the coop if possible - it's easier and less clean up, skips having to set up a brooder at all, and to be frank I've noticed no difference in friendliness of birds raised inside or out.
If you only want females (and again this is chicks) then you want to make sure to buy either sexed pullet (with roughly 10% misidentification rate) or aim for sex linked / auto sexing breeds where females and males can be differentiated by colors or markings.
I'm thinking a hatchery would be a better option than going to TSC or some place like that.....but if she opens the box when it arrives and finds one that didn't survive....OMG!!!
That's why I won't order chicks. I let the feed store deal with losses. If you have a locally owned feed store or two, it's worth checking if they may post up lists ahead of time letting customers know when chicks will be coming in, as well as breeds ordered, so you can plan ahead and get what you want.