Just went through this. With later software versions on the iPhone:
Unlock your phone and plug your phone into a USB port on your computer using the regular charging cable that came with it. Your phone should show a message asking if you want to trust this computer. Of course say "yes". If you say "no", or ignore the message for too long, it goes away and nothing works. Disconnect, reboot the computer and the iPhone and try again (reboots not always needed, but sometimes...)
You shouldn't have to do this again in the future.
After saying "yes", on the computer, under "My Computer" or "Windows Explorer" you should see a new disk drive. You will have to open some folders and sub folders to find your pictures (all you can access is pictures, so it can sometimes be a hunt to find which folder the ones you want have been stored in).
COPY those pictures to your computer. Do not cut-n-paste, and do not delete them using the computer, doing so can give a few problems later with syncing them to the cloud, etc. If you want to delete, do it on the phone.
2012 F150 Eco, 4x4, SCrew, Max Tow, HD Payload
2017 Grand Design Imagine 2670MK