Check out Dockge. It provides a simple yet very usable and useful web UI for managing Docker compose stacks.

In the docker folder with the docker-compose.yml of whatever docker container you want to upgrade:

docker compose pull && docker compose up -d

As others have said, for large groups of containers it's helpful to use Watchtower.

Immich in particular warns to backup your database before an upgrade. Also be on the lookout for breaking changes which require you to alter your docker-compose.yml file before an upgrade.

Oh and after upgrades to remove any dangling images which sometimes take up a lot of space:

docker image prune

Also if you want services to be interoperable, learn about docker networking now not later and remember for static IPs you must create a user defined bridge.

I have 5 docker-compose-based services. I wrote a shell script:

#!/usr/bin/env bash
for y in $(find /etc/ -name docker-compose.yml); do
  cd $(dirname $y)
  docker compose pull
  systemctl restart $y
done

(edit: spelling; thanks Unquote0270)

I use Portainer (portainer.io) - it’s a prett nice WebUI which lets me manage the whole set of services and easily add new ones as you can edit the compose yaml right in the browser.

There’s no substitute for knowing all the docker commands to help you get around but if you are looking for something to help with management then this might be the way to go.

Watchtower also recommended is probably a good shout just be warned about auto upstating past your config - it’s super easy for the next image you pull to just break your setup because of new ENV or other dependency you’re not aware of.