The "vagabond shoes" represent the restless desire to stop wandering and finally plant roots where it matters.
"If I can make it there, I'll make it anywhere / It's up to you, New York, New York." Key Themes Liza Minelli - New York, New York Lyrics
The lyrics emphasize that New York is a proving ground. Success there serves as a universal seal of excellence. The "vagabond shoes" represent the restless desire to
"Start spreadin' the news, I'm leavin' today / I want to be a part of it: New York, New York." Liza Minelli - New York, New York Lyrics