According to the NBA, Dutch settlers who came to New York in the 1600s used a type of pants called a knickerbocker. Rolling up the pants just below the knee is what they are.
The word has further roots that are closely related to New York. A "knickerbocker" is a native New Yorker who can trace their complete family line back to the first Dutch settlers in New York, according to Washington Irving, who wrote under the pen name Diedrich Knickerbocker in his book "A History of New York."
Over time, the term "Knickerbocker" came to mean more about New York, partly because of Irving's satirical history of the state. According to the NBA, "Knickerbocker"—who went by the name "Father Knickerbocker"—became a representation of the city in the late 1800s and early 1900s, donning a cotton wig, a three-corner hat, buckled shoes, and knickerbockers. The title "Knickerbocker" was adopted by pen names, musicals, and beers throughout the state.
The "New York Knickerbockers," a baseball team founded by Alexander Cartwright in 1845, continued to use that name even after moving to New Jersey the following year.
The Knicks were formed in 1946 by Ned Irish, who decided to call the team the "Knickerbockers."
"The name was drawn at random. One day, Lester Scott, Irish, [publicity mom] and a few other employees were seated in the office. According to the NBA, former Madison Square Garden executive Fred Podesta famously remarked, "We each put a name in the hat, and when we pulled them out, most of them said Knickerbockers, after Father Knickerbocker, the symbol of New York City." "It soon was shortened to Knicks."
In keeping with the term's origins, the team's initial logo showed Father Knickerbocker dribbling a basketball. That would be the case until 1963–1964.
New York City delis and bodegas originated from the immigrant communities of Jewish and Puerto Rican people. The first delis in the United States were simple mom-and-pop stores that sold smoked and cured meats and sausages. Jewish immigrants brought their food and customs to the United States, and kosher delis began to open in New York City in the early 1880s. Delis are known for their pastrami, corned beef, and tongue. They were places where Jewish people met with family and friends, and caught up on local news. Bodegas originated as Cuban corner stores that were brought to New York by Puerto Rican immigrants in the early 20th century. Bodegas are small corner shops that sell groceries, household necessities, and sometimes lottery tickets and cigarettes. They are often open late into the night or even 24 hours. Bodegas can also be called corner stores, delis, or grocers. Bodegas and delis are both neighborhood institutions in New York City. They are a reflection of the city's rich, mixed-cultural influence.
https://www.bbc.com/travel/article/20231005-bodegas-the-small-corner-shops-that-run-nyc
https://www.delish.com/food-news/a37544138/latinx-history-what-is-a-bodega/