Moving References from My Library to a New Specific Library

Hello!

I have over 2000 references in my basic library (My Library) that I gathered for a specific project and that have nothing to do with my doctoral project.Is there a way to move those references to a new library specific to that project so they don't show up in my basic library?I can easily find them with a search as I applied tags.I would like to move and not just copy the references.

Thank you for your help!
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