You guys need to use docker compose, then it is as simple as docker compose pull then docker compose up -d --force-recreate.

I keep my containers each in their own dir with a docker compose file with the volumes specified as ./volmedirname:/mountpointincontainer

Which makes it dead simple to write a bash script to go in to each dir, do a docker compose pull then bring everything up again. Extra points to call that script from cron.