Backup phone when touch screen not working?

I dropped my phone tonight and it is broken to the point of the touch screen not working. Is there any way I can get the information off of my phone without using the touch screen? I can see the display, press buttons, and talk to siri but thats about it. I want to get any pictures, texts, app data, or anything else that I can onto the cloud or on my computer so i can transfer them to a different device later.