What do you mean by "managing and operating" a database?
Applying migrations? initial setup and configuration?
Applying migrations? initial setup and configuration?
I haven't used a cloud offering before, but OP was asking about managing and operating a database. And that list is what we do at work or at home.
If you think there is nothing more to maintaining a database than initial setup and configuration, you are in for a rude awakening. Shit happens.
I felt like generally you have nothing to do, except sometimes you gotta do something like respond to disk quota alert and stuff