Very common issue when bringing a new data product to market and it all starts with the potential customers. What problem will your data solve for them? How do they want to consume the data? What is the value to their business?
While these questions are not easily they are where you need to begin. And don't be afraid to committing to one customer profile, as you can address different customers with different delivery options. While data scientist may want the entire database download at once for machine learning or predictive analytics purposes, new apps designed to do individual background check may only want one number at a time via an API. It is possible to easily work with both types of clients, both commercially and technically.
Some free resources to help you on your path to data monetization: