There have been numerous posts in the LR forum where user have lost files when moving a large number of images. If it's a small number of files ManiacJoe's drag & drop suggestion is the easiest solution. If you need to move a large number of image files in multiple subfolders I would suggest a using a different method as follows:
1) Backup your LR Catalog file and the entire folder tree structure containing the image files to be moved before doing anything. This allows you to recover and start over if something goes wrong.
2) Using Windows Explorer or Finder Copy (not Move) the entire folder tree structure containing the files to be moved in its entirety to the new drive location.
3) From inside LR select the entire folder tree structure containing the files to be moved and go to menu File> Export as Catalog.'
4) Using your original work catalog enter the same EXIF Filter terms. This will isolate the images you want to move. You will need to set menu Library> 'Show Photos in Subfolders.' Then Select All (CTRL +A) hit the Delete key and select 'Delete form Disk.' You have now removed the image files that are to be moved from the working catalog and from this disk location.
5) Next open the new Export Catalog file and use the same EXIF Filter terms, but with 'Don't Contain.' This isolates the image files that are NOT to be moved. Select All (CTRL +A) hit the Delete key and select Remove (not Delete from Disk). Note that the image files and folders that are to be moved will have a missing file & folders icon '!' because they no longer exist at the original location.
6) With the new Export Catalog still open reconnect the entire folder tree structure and image files at the new disk location as outlined here: How to find missing photos in Photoshop Lightroom
7) Lastly add the moved files & folders back into your original work catalog by merging the new Export Catalog file as outlined here:
Photoshop Lightroom catalog FAQ