WASHINGTON (AP) - Conservative senators from both parties announced their support for expanding background checks for gun buyers Wednesday, giving a burst of momentum to advocates of stronger restrictions. But big questions remain about whether President Barack Obama can push significant gun controls through Congress.

The compromise between Sens. Joe Manchin, D-W.Va., and Patrick Toomey, R-Pa., boosted the chances that the Senate will agree to broaden required background checks, a step gun control groups laud as an effective way to keep weapons from criminals and the mentally ill. The senators are among the most conservative members of their parties, both have received "A'' ratings from the National Rifle Association, and their endorsements could make it easier for hesitant colleagues to back the effort.

Gun control advocates still face opposition from many Republican senators and resistance from moderate Democrats, including several facing re-election next year in GOP-leaning states. In the Republican-run House, leaders have shown little enthusiasm for Obama's ideas, making that chamber an even higher hurdle.

Under the agreement the two senators announced at the Capitol, background checks would be expanded to all for-profit transactions including sales at gun shows and online, with records kept by licensed gun-dealers who would handle the paperwork. Exempted would be noncommercial transactions such as between relatives. Currently, the system applies only to sales by the country's 55,000 federally licensed firearms dealers.

The agreement also contains provisions expanding firearms rights, and that concerns gun control supporters. Some restrictions on transporting guns across state lines would be eased, sellers would be shielded from lawsuits if the buyer passed a check but later used a firearm in a crime and gun dealers could conduct business in states where they don't live.

"Truly the events at Newtown changed us all," said Manchin, citing the Connecticut town where December's murders of 20 first-graders and six educators propelled gun control to the top rank of national issues. "Americans on both sides of the debate can and must find common ground."

Emotion, always prominent in the gun issue, cropped up late Wednesday when Manchin met with relatives of the Newtown victims in his Senate office, telling them that "this will not be in vain." He became choked up when a reporter asked about the impact of the family members' visit, saying, "I'm a parent, a grandparent ... and I had to do something."

Said Toomey: "Criminals and the dangerously mentally ill shouldn't have guns. I don't know anyone who disagrees with that premise." He said that expanding the checks wasn't gun control, "just common sense."

The agreement makes it all but certain that the Senate will reject a conservative blockade and vote today to begin debating Democrats' gun legislation. Besides broader background check requirements, the bill would also toughen laws against illicit firearms sales and provide a small increase in school security aid.

Underscoring that the fight was far from over, NRA spokesman Andrew Arulanandam said the organization opposes the Manchin-Toomey accord. The group said the focus should be on improving the nation's mental health system and sources of violence like gangs.

"Expanding background checks at gun shows will not prevent the next shooting, will not solve violent crime and will not keep our kids safe in schools," the NRA said.

In a letter to senators late Wednesday, NRA lobbyist Chris W. Cox warned that the organization would include lawmakers' votes on the Manchin-Toomey deal and other amendments it opposes in the candidate ratings it sends to its members and supporters.

On a day when first lady Michelle Obama was visiting a violence-plagued high school in Chicago, the Obamas' hometown, the NRA said, "President Obama should be as committed to dealing with the gang problem that is tormenting honest people in his hometown as he is to blaming law-abiding gun owners for the acts of psychopathic murderers."

Also criticizing the deal was conservative Sen. Tom Coburn, R-Okla., who participated in a failed effort with Sen. Chuck Schumer, D-N.Y., to reach a separate compromise. Coburn called the Manchin-Toomey effort a "good faith but unworkable plan" that "prioritizes collecting records over protecting citizens."

House Speaker John Boehner, R-Ohio, repeated his view that the Senate should act, saying, "It's one thing for two members to come to some agreement. It doesn't substitute the will for the other 98 members."

In a written statement, Obama said he'd prefer stronger language than the compromise, but he said it represented progress.

"It recognizes that there are good people on both sides of this issue, and we don't have to agree on everything to know that we've got to do something to stem the tide of gun violence," he said.

Other highlights of Obama's gun agenda - including bans on assault weapons and high-capacity ammunition magazines - seem to have little chance of winning approval in the Senate, let alone the House.

Polls show more than 8 in 10 people back expanded background checks. Even so, the fight will be difficult in both chambers, especially the House, where increasing numbers of district lines are drawn to protect incumbents, said James Pasco, executive director of the Fraternal Order of Police.

"They're not going to have a constituency in every instance that is champing for that bill," said Pasco, whose group has backed the drive for expanded background checks.

The director of Mayors Against Illegal Guns, one of whose leaders is New York City Mayor Michael Bloomberg, said the compromise was a major improvement and showed that Republican support was possible.

"Opposing yet another reform, which has Americans scratching their heads, is not a place where a national political party can afford to be," said Mark Glaze.

Reflecting concerns about unseen details about some gun rights language, the Brady Campaign to Prevent Gun Violence took a more tempered view.

"While we continue to review the legislation, we believe a majority of the components are a good step forward," said Brian Malte, director of the campaign's network mobilization.

There are no current, definitive statistics on how many gun sales occur annually and what portion occurs without the checks. A study in the 1990s found that up to 40 percent of transactions involved no checks.

Weiner may run for NYC mayor

NEW YORK - A bold comeback attempt or the height of chutzpah?

In what could be the start of one of the most intriguing second acts in American politics, Anthony Weiner, the congressman who tweeted himself out of a job two years ago with a photo of his bulging underpants, is considering jumping into the New York City mayor's race.

The Brooklyn Democrat said in a New York Times Magazine story that he realizes he would be an underdog, but he wants to "ask people to give me a second chance."

"I do recognize, to some degree, it's now or maybe never for me," Weiner, 48, said in a long and highly personal profile that he clearly hoped would be the start of his rehabilitation.

But are voters ready to forgive? Will they at least stop giggling long enough to hear what he has to say?

Political analysts say Weiner would face a steep climb to get past his past, but his political skills, his rich reserve of campaign money and the dynamics of a crowded Democratic primary could make him a player, if not a clear winner, in the contest this fall to succeed Michael Bloomberg.

Known as a congressman for his in-your-face style, he could punch up the forums and debates. And he certainly doesn't lack for name recognition, for better or worse.