How to copy photos from SD Card to External Storage?
You can either:


fix date and time via Exif as described by GiantTree in his comment on your question (there are tools for that; if you've no idea which, please see Where to ask for app recommendations?) – or
simply use an app on the device to ZIP the files, then copy the ZIP to your Mac and unzip again (for "which app", again see above link). As this is not really practicable for 22GB:
option #3 would be to shutdown your phone, take out the SD card, and use a card-reader to connect it to your Mac and copy the files directly. This is probably the easiest approach to your problem.


I don't think moving will do the trick, as across file system boundaries that's nothing but "copy + delete".