“BoHo” is a neighborhood nickname that represents the Bowery below Houston Street in Manhattan. “BoHo” has been cited in print since at least 1998, but it has been rarely used.
 
 
Wikipedia: Neighborhood rebranding in New York City
The use of acronym and medial capitals has been influential in adjacent neighborhoods trying to pick up on SoHo’s cachet. The most obvious inspiration is NoHo, located North of Houston Street. More recent examples include NoLIta, North of Little Italy, and BoHo which is the area surrounding the Bowery south of Houston Street.
 
New York (NY) Times
Habitats / Broome Street Near the Bowery; Stretching the Loft Scene Onto Streets Called BoHo
By TRISH HALL
Published: October 18, 1998
(...)
He began knocking on doors, trying to find space he might renovate and then rent out, convinced that people who were paying thousands of dollars a month for large lofts in SoHo would do the same in a neighborhood some call BoHo, for Bowery below Houston.
   
New York (NY) Times
NEW YORK OBSERVED
BoHo, Back in the Day
By DOROTHY GALLAGHER
Published: October 1, 2006
A FEW weeks ago, for old times’ sake, I wandered over to the Bowery. It is booming over there. And I noticed that real estate developers are trying to obliterate the very name of the street, referring to their offerings as being in trendy BoHo.
   
Stylemens
November 15, 2006
How I Eat Lunch
I love my neighborhood. I have had several homes in the general Noho, Western East Village, Bowery, and Nolita neighborhoods, and despite the frequently unfortunate development going on, I’m not leaving. I used to call it BumHo, but the winos are long gone. I used to call it Boho, too, ‘cause that means bohemian and Bowery and Houston are kind of the center of something, but that never caught on. Anyway, it’s a good, as-yet-unruined part of my neighborhood. And it’s changing fast. The Bowery, once the city’s most architecturally diverse and kooky avenue, is threatening to turn into Sixth Avenue, i.e., a future slum of ugly development-boom highrises.
 
Google Books
The Suburbanization of New York:
Is the World’s Greatest City Becoming Just Another Town?
by Jerilou Hammett, Kingsley H. Hammett, and Martha Cooper
Princeton, NJ: Princeton Architectural Press
2007
Pp. 27-28:
This quirky nickname for the area south of Houston Street has only led to a real estate fury to give every neighborhood catchy, and, now sadly, generic monikers. NoHo (north of Houston), NoLIta (north of Little Italy, (Pg. 28—ed.) TriBeCa (triangle below Canal), NoCa (north of Canal), NoMad (north of Madison Park), BoHo (Bowery and Houston)—should be HoBo!
 
Daily News (New York, NY)
Not ready for BoCoCa, GoCaGa or BoHo? Boo-hoo! Brokers behind push to rebrand city’s neighborhoods
BY KEVIN DEUTSCH / DAILY NEWS WRITER
SUNDAY, NOVEMBER 8, 2009, 8:08 PM
(...)
You’d be hard-pressed, though, to find many people who call the Bowery below Houston St. by its new nickname - BoHo.
 
The New York Condo Loft
What’s in a Name (or a Neighborhood)?
by Noah Diamond on February 27, 2011
Every so often, we receive breaking news of a so-called “new New York City neighborhood.” In recent decades, we’ve been asked to add TriBeCa (the “triangle below Canal Street”), NoHo (“north of Houston Street,” modeled on the forty-year-old designation of SoHo, “south of Houston Street”), and even DUMBO (“down under the Manhattan Bridge overpass,” believe it or not) to our local lexicons. Even more recently, there have been attempts to brand NoLita (“north of Little Italy”), CanDo (“Canal Street downtown”), and BoHo (“Bowery south of Houston Street,” whose nickname at least has an appropriate double-meaning, as in bohemian).
 
Twitter
Sàndor Schokker
‏@sosandor
BoHo chic #Bowery #Houston
10:05 PM - 14 Jun 11