New moms will spend the next few months of their lives with a burp cloth draped over their shoulder, and Baby Bling Street believes that moms should be able to rock stylish burp cloths. Decades ago, women simply used old cloth diapers to protect themselves from unpredictable infants. Now, new parents can enjoy soft, stylish and luxurious burp cloths that are created by fashion brands such as Razzle Baby.