To build a strong incident response process, focus on three key aspects: defining what an incident is, keeping everyone updated, and remembering that the process isn't over until it's over. Start by creating a broad and inclusive definition of an incident to encourage its declaration without fear of repercussions. Ensure transparency in communication by making someone explicitly accountable for updates and using predictable formats. Finally, use post-mortem documents or meetings to learn from incidents and improve day-to-day operations, but avoid making the process feel painful or repetitive.