There are a number of digital distributors out there that have a range of different features. We work with a number of them to help facilitate cover song licensing for their users. We only work with digital distributors that we would use ourselves.
As a cover song artist that has released over a thousand cover songs in the past ten years, I can personally vouch for RouteNote. They offer a free tier of distribution where they take 15% of your streaming revenue as payment. Once your streaming revenue exceeds that 15%, you can upgrade to their Premium tier where you pay $30 annually to keep 100% of your streaming revenue.
Regardless of your distributor, the first time you submit a cover song can be a little confusing. Each distributor has a different moderation team that has specific ways of collecting the information about your cover songs prior to distribution. They will let you know if you make any mistakes during the submission process.