The new council came to order with a mix of allies and enemies being appointed to key positions.
The seven council members praised the mayor-elect even as they promised to resist him.
A plan to give city council members more power has racked up 30 signatures so far, organizers said.
The city has been deprived of more than $350 million in revenue over 31 years, officials said.
A group of members wants to shift some of the next City Council speaker's power back to the council.
Supporters of the bill are trying to get councilmembers who voted against it to support it.
Despite weeks of pressure from the mayor's office and police unions, members say they're standing strong.
The City Council also passed the 2014 budget and overrode the mayor's veto of the paid sick leave bill.
Councilwoman Debi Rose announced the launch of the Cure Violence program on Wednesday.
The plan calls for the creation of an inspector general to oversee the Police Department.
Protests have been raging in Brooklyn after the police shooting of a 16-year-old teen.
Relatives of Kimani Gray, 16, decided not to speak when the vigil grew rowdy, representatives said.
Councilman Jumaane Williams warned NYPD Commissioner Ray Kelly that simmering tension needed fixing.
Brooklyn Assemblyman Dov Hikind continues to face backlash from his blackfaced Purim costume.
Comptroller John Liu says the city is at risk of paying more money if the case is not settled.
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