If the files were in vault it would have helped to move them easily.
Anyways since you say its off 1 project file, then simply move the whole folder of the files to new location and modify the project file to replace the old folder location with the new folder location.
Would now be the time to reccomend adding Vault, even the base free version? It will cost a little to have vault configured but the auto uploader can then be used.
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