Help with migrating from Lightroom to Lightroom Classic

Hey everyone, for the last year I have been uploading photos to  Lightroom and syncing to the cloud. I've been making edits to these photos and exporting them.

I recently discovered that there is a far better approach, to use Lightroom Classic and instead of uploading the photos to the cloud, essentially just maintain a catalog of the changes I've made to those photos indefinitly.

My challenge is, getting the over 3k photos from Lightoom Cloud into Lightroom Classic, binding each photo/videos edits to the locally stored ones. I have read all the articles about syncing the files and down from the cloud, I've done that but not clear on how to move the edits from the downloaded images to the originals that I have on my drive.

Any help would be greatly appreciated, thank you!