IF you connect you iPhone to your PC, you will find you IPhone at the bottom of the list of drives in your Windows Explorer as "your name's iPhone". From there you can move your photos to your PC via copy or cut / past. Cut will remove them from your phone as they are copied. Copy will make a copy to your PC and leave them on your iPhone. Once copied, paste to your desired folder in your PC.

Note, drag and drop is same as copy.

Connect the iPhone to the USB port of your Mac and launch the "Image Capture" application.  You will find Image Capture in the Applications folder.

Once connected  your iPhone should appear in the sidebar of Image Capture. Click the iPhone icon and select the photos you want to download. As a destination select a folder on your thumbs drive.

From the Image Capture Help:

Transfer images

Many cameras, and devices such as your iPhone that contain a camera, can use Image Capture for transferring images, video clips, and MP3 sounds to your computer. Once you transfer the items, you can delete them from the device.

Open Image Capture for me

• Connect your device to your computer, then turn the device on.If the device is locked with a passcode, enter it.
• In Image Capture, select the device in the Devices or Shared list.
• Use the buttons at the bottom of the Image Capture window to view the thumbnails as a list () or to see larger thumbnails (), or to rotate () or delete () images.Drag the slider in the lower-right corner of the window to change the thumbnail size.
• Click the Import To pop-up menu, then choose where to save the images or which app to use to open the image.
• To import only some of the photos, select those photos, then click Import. To import all the photos, click Import All.
  • To automatically transfer images from your device to your computer whenever you connect it to your computer, click the Show Hide button in the lower-left corner of the window. Click the “Connecting this deviceopens” pop-up menu, then choose AutoImporter.
  • To remove items from the device after transferring them to your computer, select Delete after Import in the lower-left corner of the window.