Click Manage Storage > Backups for iOS 11 and iCloud Storage > Manage Storage for iOS 10.3.None of your valuable data will be damaged. Once your iPhone or iPad files are backed up, you can simply delete the backups.
If you use iCloud for iPhone backups, you don't have to suffer from the low storage problem. What you have to do is to copy and transfer an entire folder. Note that if you're using macOS Catalina or later, you'll have to locate backups via Finder, while newer operating systems don’t have iTunes in its original form: Control-click the selected backup and select Show in Finder from the drop-down menu. In this case, go to iTunes > Preferences > Devices. The mechanism is a bit different if you're searching for a specific backup. Here's how you find a list of iOS backups if you use iTunes: If you follow these, nothing could go wrong.
We've prepared detailed instructions on how to locate and move iPhone backup to an external drive both ways. There are two Apple ways to backup iOS devices to Mac - using iTunes or iCloud.