How to keep track of users' hobbies/interests in semi-structured way?

Sorry in advance for the long question. I'm not sure the best way to ask it.

I am building a social networking platform with the Django/Python web framework. On it, users can create a profile and list their interests or hobbies. I want to match users together based on the number of exact matches and similar matches of their hobbies to create a "compatibility score".

For example, there might be a Music category with Jazz, Rock, and Hip Hop genres as well as a Sports category with Football, Basketball, and Soccer, etc.

I want there to be a somewhat "standard" list of interests/hobbies so I can analyze them to create a compatibility score. Should I create a standard set of interests and set True/False for every hobby for every user? Or could I only store the hobbies that each user is interested in, but use auto-complete so when a user starts typing their interests, they get prompted to input them in a standard way?

Or should I allow them to store their interests/hobbies as free text and use some NLP analyzer to create a compatibility score? If so, what should I use for that?