Maintain time and date info when exporting a photo

With macOS built-in apps you can check the image's internal metadata date with Preview.app > Tools > Show Inspector [cmd-I] > Exif: Date Time Original.

File dates (file creation and file modification dates) are fragile and show other dates ... and cause much confusion.

Another option to check image's internal metadata date is in Finder > View > Show Preview (but notice that if there is no real internal date metadata, then that field shows only the file create date):

But none of those methods work for movies. One option is to check the internal metadata date is QuickTime Player > Window > Show Movie Inspector:

There are 3rd party utilities that can more readily show those dates and more.

...notice that QuickTime Player > Window > Show Movie Inspector displays only the Keys:CreationDate date tag that newish iOS versions insert to the movies. So if the movie has only the old QuickTime:CreateDate tag, then QuickTime Player does not display the date.

> I just want the same information that I see in photos to be there after I export it

If you have done metadata edits (date, title, description, keyword, location) to the images and movies in Photos, you must either export them as:

a) Re-encoded files which is slightly lossy.

b) As originals (lossless) with .xmp sidecars (that carry the edited metadata) that you can then join to the originals with 3rd party utilities.