(CNN) — The attorney for George Zimmerman plans to ask a judge as early as Thursday to allow the neighborhood watch volunteer charged with killing an unarmed, black teen to post bond — though he believes it will be difficult.

“My hope is that the judge will grant a bond, and that it’ll be a bond that the family can make,” attorney Mark O’Mara said Wednesday. “They are not a family of means. So that’s going to be difficult to begin with, and that conditions are that you stay local, I think that may be difficult.”

“I think nobody would deny the fact if George Zimmerman is walking down the street today, he would be at risk,” he said.

Zimmerman, 28, who had been in hiding, turned himself in Wednesday after authorities said they will charge him with second-degree murder in the February 26 shooting death of 17-year-old Trayvon Martin.

The charge against Zimmerman marks a turning point in a case that triggered a nationwide debate about racial profiling in America and about Florida’s “stand your ground” law — which allows people to use deadly force anywhere they feel a reasonable threat of death or serious injury.

O’Mara said Zimmerman, who will plead not guilty, is worried about getting a fair trial in Sanford — where thousands have converged to join in protests calling for his arrest and decrying the police department’s handling of the case.

“We simply wanted an arrest; we wanted nothing more, nothing less,” said Martin’s mother, Sybrina Fulton, said Wednesday.

Charge amid a see-saw of allegations

Corey did little to put to rest questions that have swirled around what happened the night Martin was killed in the suburban Orlando community. Witnesses and attorneys for both sides have offered conflicting accounts.

What is known is that Martin, wearing a hoodie, ventured out from his father’s fiancee’s home in Sanford to get a snack at a nearby convenience store. As he walked home with a bag of Skittles and an Arizona iced tea, he was shot and killed by Zimmerman.

Sanford police questioned Zimmerman and released him without charges. They said there were no grounds, at the outset, to disprove his account that he’d acted to protect himself.

From there, the case has evolved into see-saw allegations by Zimmerman’s supporters, Martin’s family and authorities.

Zimmerman says he killed Martin in self-defense after the teen punched him and slammed his head on the sidewalk.

One of the responding officers saw a wound on the back of Zimmerman’s head, and surveillance video appeared to show an injury.

Martin’s family and supporters say Zimmerman, who is Hispanic, racially profiled the teen, who was black, and ignored a police dispatcher’s directive not to follow him.

A recording of a 911 call made the night of the shooting captured someone pleading for help.

Zimmerman’s family says it was him yelling for help; Martin’s relatives have said they are certain the voice is his.

Martin’s family has also said a Sanford police detective filed an affidavit saying he did not find Zimmerman’s statements after the shooting credible — but that Sanford Police Chief Bill Lee and State Attorney Norm Wolfinger met the night of the shooting and disregarded the detective’s advice.

Neither Sanford police nor prosecutors have confirmed the existence of such an affidavit. And Wolfinger vehemently denied that such a meeting occurred.

The two sides have also debated what Zimmerman whispered under his breath during his 911 call.

Martin’s supporters said he uttered a racial slur; one of Zimmerman’s former lawyers said he told them he whispered “punks.”

O’Mara not a stranger to high-profile cases

O’Mara replaces Zimmerman’s previous lawyers, Craig Sonner and Hal Uhrig. They told reporters Tuesday that they had lost contact with their client and no longer represent him.

O’Mara said the family contacted him after referrals from other lawyers.

He is a well known criminal defense attorney who is no stranger to high-profile cases and TV cameras.

In 2004, he successfully defended Shamir Suber, who was charged with second-degree murder for plowing into the back of a car and killing its driver while trying to evade police. Suber was eventually convicted of the lesser charge of manslaughter.

Zimmerman was alone Wednesday when he turned himself in to the Florida Department of Law Enforcement’s office in Jacksonville, said department spokeswoman Joyce Dawley.

George Zimmerman’s brother, Robert Zimmerman Jr., told CNN’s “Piers Morgan Tonight” that the family was “devastated” by the development.

“There were no winners in this already,” the brother said.

Zimmerman had been in hiding since shortly after the shooting. His family and former attorneys said he feared for his life.

The case has drawn comments from President Barack Obama — a father of two girls who said, “If I had a son, he’d look like Trayvon” — and led to protest marches in cities and campuses across the country.

At one point, the New Black Panther Party offered a $10,000 bounty offer for his capture, despite vehement opposition from, among others, Martin’s family. He had not gone to work at a mortgage risk management firm since the shooting.

“There’s a lot of issues and there’s a lot of emotions and we need to calm this down,” O’Mara said. “It needs to be tried in a courtroom, which is the only place it’s supposed to be tried, and that’s what I’m going to try help get done.”

Officials urge restraint

O’Mara asked there be no rush to judgment.

“Nobody, after all, wanted Trayvon Martin to be pre-judged as he was walking down that street,” he said. “I ask you not to pre-judge George Zimmerman, and please do not pre-judge the criminal justice system. It’s going to work. We just need to let it work.”

Gov. Rick Scott, who appointed the special prosecutor on the case, issued a statement Wednesday calling on Florida’s residents to “allow our justice system to reach an appropriate conclusion in this case.”