Delivery Baskets are earned by collecting enough hearts! When you receive a new basket you will get a pop up on screen announcing its arrival. Tap on the basket icon along the bottom toolbar to go to the basket area and select a basket to begin its delivery.
Rewards included in baskets are Carrots, and other items used to nurture and level up your Bunnies so they can spend longer with your customers. Baskets come in different rarities and take varying lengths of time to open depending on rarity.
When a basket is ready, tap on it in the basket area, then swipe up to open. You can only open one basket at a time. You can hurry baskets with BunnyBucks, or even cut down some of the wait time by watching a video (if available).