How do I make to transfer my database of a server to other server that Coppermine is already installed?
Use third-party tools like phpMyAdmin or mySqlDumper
Thanks, but is necessary backup php files like the upgrading process?
Coppermine's core files don't need to be moved around if they already exist on the other server. However, it's always a good idea to perform backups of all files in case something goes wrong. One question per thread: you initially asked about database transfer. File transfer is an entirely different animal.