I've spent more than an hour to find a song with a lyric containing something like "If there's one place to go - this is it" (or "I know one place"...), probably by Frank Sinatra or someone making similar music.
It must be very well known since it was used in many movies/tv shows. I'm not sure but I think the song was about Las Vegas (or maybe New York?).
I really hope this incomplete information leads to someone recognising it, neither lyrics search engines nor find-by-humming engines brought up something useful.
As far as I remember the melody should be close to this: https://onlinesequencer.net/758409