Amazon Launches One Hour Delivery In Austin said this morning that it has launched its one-hour delivery service, Prime Now, in Austin, allowing its customers in Austin to get tens of thousands of items in just one hour when ordered through's mobile app. The launch in Austin comes only a few weeks after the launch of the Prime Now service in Dallas. Prime Now costs $7.99 for Amazon Prime members, with two hour delivery for free. Amazon said that the most popular items delivered through Prime Now in Dallas were Campbell's Soup, bottled water, and organic iced tea.