You are renaming pages on the same host
Redirect Map Manager imports a CSV, rejects loops and conflicts, and records changes. Hypothetical example: an old product page changes path during a redesign on the same host. An explicit map makes its destination reviewable. Each accepted import replaces the entire map, so export the previous state and back up the database first.
You already operate imgproxy
The imgproxy Media Connector assigns named profiles to WordPress image sizes: dimensions, mode, format and quality. Successfully replicated images use signed URLs while local files are retained. You supply, configure and monitor S3-compatible storage and an imgproxy server; their operation remains part of your infrastructure.
Your project needs both workstreams
Choose the modules individually and test each workflow in your environment. Redirect exports for Nginx or Apache require validation before deployment. The image connector does not edit your URL map, and the tools do not automatically coordinate the migration for you.