When Mayor Bloomberg takes the podium for his annual State of the City speech today, New Yorkers can expect to hear about new initiatives that reach beyond meat-and-potatoes issues: to expand DNA use in solving crime, to decrease the number of poor people in the city, and to accelerate the rebuilding of the still desolate World Trade Center site.

The mayor also will announce a partnership with New York University and City University to improve teacher training, a proposed ban on gifts from lobbyists, and plans to reform the way judges are appointed to the bench, administration officials said.

The speech – which will be delivered at the Snug Harbor Cultural Center on Staten Island, the borough that came out in full force to help the mayor win his second term – also will address gun control and tourism, as well as high school education.

The sneak peak at the mayor’s speech, an annual ritual in which City Hall staffers provide reporters with some of the basic proposals a day ahead of time, is slim on details. It does, however, make clear that Mr. Bloomberg will set a slightly different tone today than he did last year or in previous addresses.

With his re-election behind him and a near mandate from his 19-point victory, Mr. Bloomberg seems to be focusing on fundamental changes to how New Yorkers live and government works. If successful, his plans could add to his legacy.

Unlike last year’s State of the City address, which was a kickoff for his re-election campaign (right down to the location, the Bronx, his challenger’s home borough), this year’s speech will offer a unique look at the strategy of a billionaire politician who has already said he will not run for higher office.

“The mayor will lay out an ambitious blueprint for achieving long-term stability and growth in every area of life important to New Yorkers,” a senior official in the administration said.

Mr. Bloomberg starts his second term on far different footing than he had at the beginning of his first. He is no longer a novice to city government and is more comfortable in front of crowds.

Mr. Bloomberg will mention the $400 property tax rebate he first pushed for two years ago and discuss his plan to call for an increase in taxes on cigarettes. He announced the latter when testifying on the state budget earlier this week, but is at odds with Governor Pataki on it.

After being told of some of Mr. Bloomberg’s planned announcements, a professor of public affairs at Columbia University, Steven Cohen, said the mayor seems to be going for structural changes that will be felt long after he leaves office.

“It looks like less trying to put the tourniquet on the wound and more like trying to look forward to see how we can make fundamental changes to help the city governance in the future,” Mr. Cohen said.

Expanding DNA use and making inroads in gun control, an issue Mr. Bloomberg has started addressing more aggressively, go far beyond the Police Department’s CompStat program, the professor said.

Mr. Cohen said solving big problems and creating a legacy are one in the same. Decreasing the number of New Yorkers who live in poverty is a case in point. The executive director of the advocacy group ACORN, Bertha Lewis, said she is glad to hear that the mayor will be talking about poverty, but is reserving judgment until she has more details.

“I hope it’s a major piece and not just a reference,” she said. “If he addresses the million plus people that fell into poverty during his first administration, that’s a good thing.”

If poverty is attacked in “the same way that he focused on the smoking ban, we would really go a long way,” Ms. Lewis said.

Mr. Bloomberg has long talked about cleaning up the judicial system by creating screening panels to ensure judges are qualified. It seems that goal may get more attention in term two.

The president of the Citizens Union, Dick Dadey, said the State of the City is the perfect time for Mr. Bloomberg to throw the weight of his office behind government reforms and it is the mayor’s independent-minded style that so many voters were drawn to.

“I think that he was understandably consumed with the fiscal crisis early in his tenure and with implementing his education initiative, and now he can set his sights on things beyond those and really begin to change the way government operates,” Mr. Dadey said.