Trendtotting: Designer Diaper Bags Rebecca Minkoff, who made a name for herself with her Morning-After bag, has introduced the latest designer-version diaper bag with her Knocked Up bag. Featuring a coated canvas interior, the bag has straps that attach directly to strollers and the usual compartments for bottles, wipes, and snacks. Check out lilsugar for more decadent, designer diaper bags!