We would like to set up graduated tiers for delivery, so that the rates are lower for locations closer to the store location, and more for locations that are further away.
Our local delivery feature within Shopify offers this conditional pricing feature based on the distance. You can add up to 4 additional delivery zones based on distance radius or sets of postal codes. Each delivery zone can have a separate set of pricing. You can learn more about getting set up with local delivery here.