There is no automatic renaming or moving files in the version control systems. Working with the clients, you have to manually copy a file to a new location, change its name, add to VCS and remove the old file. IntelliJ IDEA's refactoring features make it possible to easily move and rename files under version control, performing all actions involved in these functions.
The resulting files are specially marked in the Changes tool window, as shown in the image below:
All added and deleted files are placed to a changelist.
