Although the book of Acts begins the transition from Peter to Paul, Acts 9:32-12:25 show the itinerant ministry of Peter.

This section deals with Peter at Lydda, Acts 9:32-35; Joppa, Acts 9:36-43, 10:9-23; Caesarea, Acts 10:1-8, 23-48; and at Jerusalem, Acts 11:1-18; 12:1-17.

This section is extremely important because it deals with the continuing struggle over the Gentile mission and Peter's part (as head of the Apostolic group) in that struggle. Luke deems the Cornelius account so important as to repeat it three times in this section.