Rename files from the SublimeText3 command palette. No mouse required.

Ctrl-Shift-P or Command-Shift-P then type File:Rename or fr

With Package Control:

• Ctrl-Shift-P or Command-Shift-P
• Package Control: Install Package
• File Rename

Manually with git:

• Sublime -> Preferences -> Browse Packages...
• git clone https://github.com/brianlow/FileRename

Manually:

• open file
• press [F2] and rename this file