Now what, to update, after finding my device in iTunes on my laptop?

Using iTunes, you can update the software on your iPhone, iPad, or iPod.

1. Connect your device to your computer. ... 
2. In the iTunes app on your PC, click the Device button near the top left of the iTunes window.
3. Click Summary.
4. Click Check for Update.
5. To install an available update, click Update.

Update software on iPhone, iPad, or iPod touch in iTunes on ...