Amazon Launches Free, One Hour Restaurant Delivery In Houston said this morning that it is ramping up its restaurant delivery efforts in Houston, saying it will offer up free, one hour delivery on meals from a number of popular restaurants in the city, as part of its Prime Now restaurant delivery service. Amaozn said that Prime members can order food from the local restaurants, using either the Prime Now mobile app or a new website. Amazon said restaurants included in the program include Carrabba's, El Tiempo Cantina, Max's Wine Dive, P.F. Chang's, Thai Gourmet, The Hay Merchant and others.