So in 1889 the Brooklyn Bridegrooms (AA) came in 1st but lost the World Series of the time to the NY Giants (NL).
In 1890 the Brooklyn Bridegrooms moved to the NL and came in first. But they tied the AA champs: Louisville Colonels in the World Series.
So they came close to technically winning in 3 cities. But I doubt any Brooklyn Dodger fans would have acknowledged that their Dodgers/Robins/Superbas/Trolley Dodgers/ Bridegrooms/Grooms/Grays/Atlantics played in 2 different cities before abandoning them for LA.
They sucked where ever they were. Ok so they did win 2 ABA championships in New York. 0 in the NBA.
The Nets were in 3 different places in New Jersey. Their first season in the ABA they were known as the New Jersey Americans. They played at the Teaneck National Guard Armory. The next year they moved to Long Island and became the Nets. When they left New York their new home at the Meadowlands wasn’t ready so they played one year at Rutgers in Piscataway NJ.
Basketball used to be pretty transient. When Wilt Chamberlain scored 100 points in a game for the Philadelphia Warriors, they were playing in Hershey, PA, and the game wasn’t even televised. At that time no one would have spoken of the “four major sports leagues.”