You can download a PDF with the Thousand Names of Lord Narasimha for free at Archive.org. Just click here to directly view/download the PDF. If that doesn’t work, go here and chose PDF. (It’s the only format that retains the Sanskrit lettering and original formatting).
Preface — Page 1 to 15
Introduction: The Story of Lord Nrsimha — Page 16 to 59
The text, transliteration and translation of the sahasranama — Page 60 to 119
You can follow along while listening to this video recitation (it even uses the same text). You can hear and learn pronunciation by listening! —