@AndrewRobinson People picker controls allows you choose the properties by clicking on the 3 little meatballs next to the field, that should allow you to get what you need and store as a string.
@AndrewRobinson ...is people picker has multiple names of the single name? If it's a single name then as @leighburke suggested, you can set the string variable to lookup current item people picker field and select display name from clicking 3 dots "...".
If they have multiple or combinations then you need to:
- Use RegEx & people picker column to store them in a collection.
- Using For Loop get each name in the single text variable
- Using Set Variable get the display name
- Store that value in a collection or use that single value in each loop