If it is a smartphone, the easiest way is to back up your photos to dropbox, one drive, google drive or similar cloud service. Simply download the relevant app to your phone. They are available for android, iOS and windows phones. Set the app to back up your photos automatically and it all happens by magic.
Make sure you are on a wifi connection and not data. Remember to choose a strong password.
If it isn't a smartphone then you will need to refer to your phone instructions. On very old camera phones this will involve some kind of cable connected to your laptop/desktop computer and even some application installed on your laptop/desktop. If it isn't so old, you can probably back up the photos via wireless.
This message was last edited by DuncanMcG on 10/04/2017.