To move a project between Computers in Unity (i.e. Computer to laptop, etc) you can do it safely as is:

 
To copy / move a Unity project:
  1. Enable Version Control Meta Files in Editor Settings
    (This will add a .meta file for each file and folder in your project)
  2. When copying, do not copy the Library folder or the Temp folder (if at all exists).
  3. In most normal circumstances, you only need to copy the Assets and ProjectSettings folders.

    *After copying and opening in Unity, it will automatically generate the Library folder based on your meta files. 
 

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