Amazon is having free 3-month prime membership (2-days free shopping) for parents. Additionally parents can save 30% off on diapers. Here is the link to join Amazon Mom program.
When you join Amazon Mom, you will receive FREE Two-Day Shipping with Amazon Prime for the first 3 months of your membership. For each $25 you spend within a single order in the Baby store, we’ll grant you an additional month of Amazon Prime shipping benefits. You can earn up to one year from the date you joined Amazon Mom.