What service provides customers with the option of having food delivered without needing to leave their homes?

The option that accurately describes the service allowing customers to receive food at home without leaving is food delivery service. This service specifically caters to customers who want the convenience of dining without the need to travel. It often involves restaurant staff or contracted delivery personnel bringing the food directly to the customer's door, which adds to the appeal for those seeking a hassle-free dining experience.

Take-out service, on the other hand, involves customers physically going to the restaurant to pick up their food. In-house dining suggests that customers are being served within the restaurant premises, which does not align with the concept of home delivery. Order ahead service typically allows customers to place an order in advance but still usually requires them to pick it up themselves, rather than having it delivered. Therefore, the focus on home delivery clarifies why food delivery service is the correct response.