Showing different sets of icons for the weather view is easy with the Location Weather Pro plugin. Follow the steps below:

1. Navigate to Location Weather Menu → Add New.

2. Type a Title for your Weather View.

3. Under the Display Options, you will find the Additional Data Style tab. 

4. Choose any of the Icon Type from 3 different icon sets. 

5. Then Publish the shortcode and display it on your web page.

The final output would be something like below: