I'd suggest going in baby steps. Start with the absolute basics - standalone docker containers + docker-compose. Work in those containers, deploy those same containers. Build your deployment pipeline. That'll get you familiar with the workings of containers in the docker context, and you'll be forced to iron out issues you may find with this way of working.

Then slowly start to spread further - you could start with docker swarm, which is a smaller next-step for devs. Again it's to help you figure out what kind of deployment pipelines you would create and what constraints you need to introduce. The reason I call it a smaller next-step is because the docker compose file used for development is the same one you can use for deployment to standalone or swarm.

By the time you start hitting the limitations of swarm, you should be ready to move to k8s and look at the various options available to you.