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. You place it with each of Equifax, Experian and TransUnion, and can 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.
Source
FTC Consumer Advice (opens the original source in a new tab). Check it for the latest numbers before you act.