How to retrieve photos from disabled phone

So I dropped my phone and the screen isn't cracked at all but inside of the screen it's a rainbow of different colors and I can't see anything on it. I've never backed it up on a computer and even if I would I wouldn't be able to verify my phone through the computer because I can't see the screen. I just want to transfer my photos but if I could transfer my other stuff, that would be great! For now I'm using a different iPhone that's all new and I'm just hoping I can't transfer everything over!