If David were giving a speech about winter weather preparedness and wanted to find out about the audience’s thoughts, feelings, or experiences they’ve had with the weather, what way of involving listeners might he use?

Polling listeners might be the best way of involving listeners.

Explanation:

giving that the speech is about winter preparedness, the best techniques will be to poll listeners so he could also find out the audience thoughts, feelings or experiences

yes the first one is correct .