If you are wanting to pick up Vue, choose node.js and start with the basic tutorial on setting up your project and project organization. Then do a tutorial on state management in Vue. At that point you should just get started on a project and stop doing tutorials until you run into something you don't understand. To get moving I like to pick a piece of functionality. In this case, login could be a good place to start. Whether you want to use third party auth or roll your own, it is a good place to start. Get login and state management working because once you have that running you can start implementing other functionality pretty fast.

The key is to pick a piece of functionality that does two things, one: simple but once completed is a component you'll need for your project, two: at the end of implementing that functionality there is something that works which you can build off. That's why I suggest doing those two tutorials and then starting with login and state management, it will help you move forward. Don't get ahead of yourself, pick small components of functionality and just start knocking them out. Don't think about the millions of options.

On your tech stack, pick whatever is most common for your stack, don't try to be complex when all you need is to get started. For example, node.js, postgresql or mongodb, Vue. That will give you the widest set of tutorials and help online and in the end it is extremely capable platform for nearly anything you want to build. And all of those are marketable skills.

edit: fixed a word