The entire line of Nest diaper bags
are as functional as they are beautiful, with interior and exterior pockets, bottle holders, and divided pockets for easy organization. Plus, many of their bags (including the Grommet) have a changing pad stowed in a zippered compartment on the bottom of the bag, so it is perfectly separated from the rest of your goodies. And yes, the silk scarf if included.
And these bags are so über chic, you'll want to use them well after your baby is out of diapers. The folks at Nest figured you might feel that way, so many of their bags feature a zip-out lining. This way, your diaper bag can easily become your daily bag.