how to rename the MFC Project

You don't need such software! And who knows what will it do to your project?

In all cases, you can select your project's tree node in the Solution Explorer and than go to main menu of Visual Studio, use "Files" => "Save [youproject] As…".

Basically, that's it!

I hope all your source code is located in the directory structure under the directory where your project file is (some developers have been so stupid to violate it, even though Visual Studio assist in maintaining it). In this case, after "Save As" you can manually moved the sub-directory of your file anywhere else. Don't forget to remove the files which are not the source code. You should always know what part of artifacts is your source code, otherwise you're in trouble.

Moreover, you simply need to relocate and rebuild your project sometimes, just to check up its integrity. Some Inquirers here complained that their projects were broken after relocation (on a different computer or not). Don't repeat their failures.

—SA