“America has only three cities: New York, San Francisco, and New Orleans. Everywhere else is Cleveland,” Tennessee Williams once wrote.

It’s taken a half-century, but the hotel industry in the Crescent City is finally living up to the magnificence and distinction of the real New Orleans. Now at least a dozen new boutique inns, preserving old bones with modern “hip” replacements, have opened in reimagined churches, rectories, convents, roadside motels, and even a former juvenile-detention center.