Eight members of the City Council have banded together to create leverage in negotiations over a plan to revamp the way garbage is moved out of the city.

The G8, as the group cheekily dubbed itself, met for the first time earlier this week and scheduled another meeting for today. Its goal is to win concessions from Mayor Bloomberg and the council speaker, Gifford Miller, who led an aggressive effort last week to ensure that land use approvals for the trash-transfer stations fundamental to the mayor’s plan were rejected.

People familiar with the group, who did not want to speak on the record, said it was organized by Council Member David Yassky, a Democrat of Brooklyn.

Yesterday, Mr. Miller, who has long opposed the mayor’s proposal to reopen a trash-transfer station in his Upper East Side district at 91st Street, announced a proposal that would use the site to process paper only. Mr. Bloomberg wanted to reopen it to trash, while Mr. Miller said the area is too close to residential for that.

Mr. Miller, a Democrat who is running for mayor, also proposed building a station to handle commercial trash at an existing tow pound on West 38th Street, and using a site at the end of West 59th Street for residential trash. The administration said his plan was not viable. “It’s time for the mayor now to take the responsible course and stop his my-way-or-the-highway approach and sit down with the City Council,” Mr. Miller said.

Mr. Bloomberg, who vetoed the council’s rejection of his plan earlier this week, has the backing of the environmentalist community. Yesterday, he said his plan was based on science and engineering, while Mr. Miller’s was about politics. “He’s got a press release that was drawn up in two or three weeks without consulting anybody,” Mr. Bloomberg told reporters.