Babies aren't babies for very long. One day your baby will be a toddler and these first photos will mean the world to you, I speak from experience.
I keep my photoshoots with these tiny members of your family relaxed. Having a few mini shoots within the 2hr time frame, plenty of time for feeding and soothing, which is an important part of getting great photos.
I am a lifestyle photographer, I don't wrap babies, but I do lightly pose and guide families to create images to capture this special moment in the life of your growing family.