Upgrading container versions with persistent storage volume

I am upgrading (finally) from grafana/grafana:6.0.0-beta1 to the current latest 6.1.3. I run my containers with a mapping like this to a local storage:

–volume local_grafana_volume:/var/lib/grafana"

What is the recommended way to keep my settings and my grafana.db with all the current version defined users and dashboards so that all “just works” in the new (containerized) version?

Do I stop the current container and then just fire up the current latest version with same --volume mapping?