How to implement mysql consolidation strategy with multiple instances?

[William Frezno]

Here's the problem.
When my home setup started, it had several application each having it's own database. But as time goes on my needs grow and suddenly I find myself deploying dozens of sql servers. Now I want to consolidate: i.e. to move every database to a single database server to better manage backups and so on.
The consolidation strategy that I would want to implement is to deploy multiple mysql-server instances on a single server using virtualization technologies such as docker BECAUSE each database is different: e.g. one is psql GIS database. Another is mysql-5, another is mariadb10.4 and so on.
The problem is, to make it consistent I need to have one endpoint to connect to all those database instances. What approach should I use to accomplish the task.
The task is similar to reverse proxy in case of web servers.