There’s plenty of tutorials out there for it. A quick DuckDuckGo search turned up this as one of the first results, but the theory is the same if you wanted to bundle ‘arr containers instead of nginx/whatever. https://www.digitalocean.com/community/tutorials/workflow-multiple-containers-docker-compose
Essentially you create docker compose file for services, within which you have as many containers as you want set up like you would any other compose file. You ‘docker compose pull’ and ‘docker compose up -d’ to update/install just like you would for individual docker container, but it does them all together. It sounds like others in the thread have more automated someone with services dedicated to watching for updates and running those automatically but I just look for a flag in the app saying there’s an update available and pull/ up -d whenever it’s convenient/I realize there’s an update.
Freakanomics sucks. https://pca.st/episode/b032436d-a692-4dbe-a9ea-6a3c0fcb213d