I’m not an organisation, just an individual who likes to use that sort of board to organise himself.
Is anyone using something they’d recommend? Preferably ready to go with Docker of course.
Try Notion. It is great for personal stuff, highly customizable. They have also added a set of project management tools recently.
Azure DevOps free tier is probably enough. You can also host your own private repos there.
I use Obsidian with the Kanban plugin to organize my personal projects, and sticky notes on my wall for other things.
I use TickTick which is perfect for my needs. Not self-hosted but it is free.
Not sure about Docker integration but I use Asana for this sort of thing.