I think Rome is great for traveling with a baby because you can see what you'd like to see. That being said, Rome isn't my favorite place to travel with a stroller because the sidewalks are not great, there are a lot of cobblestones, and you're always looking for a path for the stroller. It can definitely be done though! It's also important to be aware of the summer heat in Rome with a baby, because there isn't a lot of shade and indoor sites often aren't air-conditioned.