Try using the file compressor in iBoysoft MagicMenu to compress your MOV files. It offers extra features like compression level and password protection. You can select "High Level" to minimize the file size.
If the reduced size doesn't meet your expectations, you can only reduce the file size by using a lossy method. For instance, you can open the MOV file in QuickTime Player and export it with a lower resolution. This should greatly reduce the size of the MOV files.
Besides, you can also use apps like iMovie for a similar purpose. It gives you more customization, allowing you to select a desired resolution, quality, and compression for better quality or speed.
Also read: How to Compress a MOV File on Mac?