Freeze your credit (it's free and doesn't affect your score)
Added
A credit freeze stops anyone from opening a new credit account in your name, including you, until you lift it. Place a free freeze with each of Equifax, Experian and TransUnion (links below), and lift it temporarily when you apply for credit, a job or a rental.
The result
Result: FTC: free to place or lift, doesn't affect your credit score, and lasts until you lift it.
Place a freeze
Source
FTC Consumer Advice (opens the original source in a new tab). Check it for the latest numbers before you act.