FORT STEWART, Ga. — Twice before, Sgt. Michael Konvicka has picked up a rifle to go to war. Doing it a third time won’t be any easier.

“Every time I come back from Iraq, I tell my wife, ‘I’m done honey, stick a fork in me,”’ said Konvicka, 36, of Flint, Mich. “I’m not really looking forward to it. But I’ve got 10 years in the Army, and I’m not about to throw that away.”

Hours before President Bush was to announce his plan Wednesday to increase U.S. forces in Iraq, soldiers of the Army’s 3rd Infantry Division said goodbye to their families as they deployed on their third tour.

The 19,000-troop 3rd Infantry, which helped lead the 2003 charge to Baghdad, is the first Army division to be tapped for a third deployment to the war. Barely a year has passed since its soldiers returned from their last yearlong rotation.

“It’s another year I have to endure, and it’s not easy,” said Konvicka’s wife, Sharon, resting her head on her husband’s shoulder while soldiers piled duffel bags and rucksacks into trucks for shipping to Iraq.

Wives wept and wrapped their arms around husbands with rifles slung over their shoulders. Some 400 troops of the 2nd Battalion, 7th Infantry Regiment departing Wednesday are among 4,000 soldiers of the division’s 1st Brigade Combat Team deploying this month.

“I hope it’s the last one,” said Staff Sgt. Harold Hensel, 30, of Little Valley, N.Y., hugging his pregnant wife, who is due in May, before leaving for his second combat tour. “I was hoping the first one was the last one. But duty calls.”

The 3rd Infantry’s three remaining combat brigades are scheduled to deploy later this year, including the 3rd Brigade at Fort Benning, Ga., where Bush planned a visit Thursday.

Sgt. Brad Weston, 23, said he could see positives and negatives to the president’s plan to increase troop levels in Iraq while he’s deployed there.

“The benefit is you do get more time where you’re not having to be out patrolling,” said Weston of South Bend, Ind., who is deploying on his third tour. “The negative thing is there’s more violence when there’re new people there who don’t know the area well.”

When the 3rd Infantry first deployed to Iraq in 2003, it quickly helped topple Saddam Hussein’s regime. During its second tour in 2005, troops saw Iraqis elect their first democratic government.

But Cpl. Matt Venn, 21, of Wichita, Kan., said he sees few signs of hope in 2007 with the increasing violence from insurgents and sectarian militias.

“There’s not many people over there who are on the straight and narrow,” said Venn, who had deployed to Iraq once before, in 2005. “Out of the year, you’ll find two families who are really innocent. And that’s the people, I guess, we’re trying to help out.”