Moving photos from iPhone to Mac

I recently made the switch from a PC to a Mac and am still trying to figure out a few things... I have an iPhone and a iPad and have way to many photos stored on my phone between the two devices. With my PC when I plugged in my phone i could acess my phone through my files and move the photos over to my computer and then it would remove the photos from the "All Photos" folder but they still were kept in the Photo Stream folder. I'm not sure how to do that with a Mac and was wondering if anyone knows how!