I know this is an Hermes post but it does depend on the age of the child. For true “babies” I’d recommend a backpack. I love my Senreve midi Maestra and sometimes even used an actual “diaper backpack” for excursions. This may be an unpopular opinion but the Evelyne 33 is also great bc it carries a lot but is a crossbody. For just everyday, on the go, a Longchamp Le Pliage or an LV Neverfull MM is great! I’ve also sometimes used my Picotin 26 - great size and I clip my keys (which are on a strap) to the little buckle at the top. It’s a comfy bag. I’m actually considering a GP 36 now which is how I found this thread. Now that I know that it CAN fit over the shoulder, I think I’m sold.