Even if you don't have other pets you will want to keep your little girl quarantined in a small space (preferably where her food, water, and litter box will be permanently located) for at least the first several days, then slowly introduce her to the rest of the house, one room at a time. Remember, she is just a little kitten and she is being introduced to a huge new foreign, and probably scary environment. It is easy to forget where the litter box is, and little kittens will play and play (or hide) until they suddenly realize they need to go, and if their litter box is not in sight they will probably go in the nearest corner.
As for bringing her home, I would leave her in the carrier, and keep it covered. Remember, you are a stranger to her as well, and could be very scary to her. Every kitten is different, some seem to have no problem whatsoever transitioning, others need several days, even weeks to fully adjust to their new home. But even if she comes to the door and appears curious, you can pet her but I wouldn't take her out. It only takes one sudden leap out of your lap and onto the floor under the driver's feet to cause a potential accident. Also, wasn't she just born the beginning of October? If you are bringing her home at the end of November that means she will only be eight or nine weeks old at that time - that is awfully young to be placing a kitten in a new home, IMHO. I hope she will have at least received two vaccines before making the transition.
I hope taking home my savannah goes as smoothly and sweet as that! I was supposed to get her nov. 22nd at 9 weeks, but now after hearing what others have said I am going to wait until 12 weeks, hoping that the breeder will hold her for me that long ( I don't see why she wouldn't). I hope waiting that extra time will make her confident like your sweet kitty was when you picked her up!