Application recommendation to free mac storage

I like the paid version of DaisyDisk to reduce "Purgeable" space.

As to clearing up space generally on your drive, efficient or not to you, delete user data ... what you created or copied. Never delete any system type files or folders. There are only five default user data folders: Downloads, Documents, Pictures, Movies and Music. If you created custom folders, yes, you've complicated the delete process.

If you want to keep the data, put it on an external drive or use a cloud storage service. iCloud Drive is not an autonomous long term storage solution.

As for clearing Cache files, a restarting in Safe Mode. This will perform a Disk Repair, clear cache files and only load Apple Software, extensions and fonts. The boot up will be slow and can take some time - Normal.

What is “Other” storage on a Mac, and how can I clean it out?

Free up storage space on your Mac

OmniDiskSweeper Safe to use

GrandPerspective 

How to delete Time Machine snapshots on your Mac

See used and available storage space on your Mac

Locate backups of your iPhone, iPad, and iPod touch

The final word from Apple on Managing the " Other " Category

Other: Contains files that don’t fall into the categories listed here. This category primarily includes files and data used by the system, such as log files, caches, VM files, and other runtime system resources. Also included are temporary files, fonts, app support files, and plug-ins. You can't manage the contents of this category. The contents are managed by macOS, and the category varies in size depending on the current state of your Mac.