Baby diaper subscriptions. Parents have lots of options when it comes to diaper subscription services, which can be super convenient for busy parents without a lot of extra time for diaper shopping. For Amazon Prime shoppers, you can add your preferred diaper brand to a “subscribe and save” service through their Amazon Family feature. The diapers are offered at a discount and will arrive on a set schedule, which means you can just set your preferences and then enjoy diapers delivered to your door. The Honest Company is a very popular subscription service known for their stylish diaper designs. Subscribers receive monthly deliveries of diapers and wipes and can cancel their subscription at any time.