In the car, my hedgie is always in the carrier. When travelling outside, he'll be in a shoulder bag snuggled up next to me. The bag also makes it easy to have inside my jacket as well, if it's actually cold out.
Other than that, I don't really see much wrong with it. Though I would suggest not to handle her the evening of the day trips, just to allow her the time to sleep in if she choses to do so. When I wake my boy up during the day(when the weather was nice and we went outside) I wouldn't bother him again at night.
Although, the only thing I'd be worried about with her is that her heath is probably a little on the lower side, since you only recently got her, and she recently gave birth. But, if she is eating, drinking and everything is normal, then I guess it's alright. But just watch her carefully.