Clippers get J.J. Redick and Jared Dudley

The Clippers are reshaping their roster in a busy off-season.

After acquiring a new coach in Doc Rivers and securing Chris Paul, the Pacific Division champions were able to land shooting guard J.J. Redick by agreeing to part with backup point guard Eric Bledsoe in a three-team, multi-player trade Tuesday.

The Clippers will trade Bledsoe and small forward Caron Butler to the Phoenix Suns for small forward Jared Dudley.

To complete the deal, which can’t be announced until July 10, the Clippers and Suns will each send the Milwaukee Bucks a second-round draft pick.

Redick, acquired in a sign-and-trade from the Bucks, has agreed to a four-year deal for $27 million to play for the Clippers. Redick, who earned $6.19 million last season, will make about $6.75 million in the first year of his deal.

The four-player deal was confirmed by NBA executives who were not authorized to speak publicly on the matter.

Redick, 29, who split time between the Orlando Magic and the Bucks last season after he was traded to Milwaukee, is the shooting guard the Clippers were seeking.

He averaged 14.1 points last season on 43.4% shooting, 36.6% from three-point range.

Over his seven-year NBA career, most of it in Orlando, the 6-foot-4 Redick averaged 9.4 points on 42.9% shooting from the field, 39% from three-point range.

Despite starting only 54 out of 424 career games, Redick probably will be the starting shooting guard for the Clippers, playing alongside Paul, who just agreed to a five-year deal worth $107.3 million.

Redick and Paul can’t sign their contracts until the NBA lifts its moratorium next week.

When Redick was playing for the Magic last season, Clippers fans probably remember how he helped Orlando break a 10-game losing streak in L.A.

Redick came off the bench to score 21 points in that January game, including a three-pointer with 42 seconds left.

Known as an average defender, Redick also took a charge in that game against Jamal Crawford with 12.9 seconds left to secure the victory for Orlando.

The athletic Bledsoe had been the backup behind Paul the last two years, and Paul had said during the season that he was ready to become a starter in the NBA.

Bledsoe averaged 8.5 points, 3.1 assists and 1.43 steals in 20.4 minutes last season.

Butler, the former Laker, averaged 10.4 points in 78 games.

The 6-7 Dudley, who’ll be 28 July 10, has three years left on his deal that pays him $4.250 million a year.

Dudley was on the Suns team when Alvin Gentry was the coach. Gentry, who was fired by the Suns, is now the associate head coach of the Clippers.

Dudley averaged 10.9 points last season with the Suns on 46.8% shooting, including 39.1% from three-point range. He started in 50 of the 79 games he played in last season.

Over a seven-year career, Dudley has mostly come off the bench, with career averages of

9.0 points, 3.6 rebounds, 47.3% shooting from the field and 40.5% from three-point range.

And the Clippers might not be done doing business. They were scheduled to meet with free-agent power forward Carl Landry on Tuesday night.

Landry, a 6-9, 248-pounder, opted out of his Golden State Warriors contract for next season that would have paid him $4 million.

He averaged 10.8 and 6.0 rebounds in 23.2 minutes last season in a reserve role with the Warriors.

Landry, who played with Paul in New Orleans for part of the 2010-11 season, has six-year averages of 11.9 points and 5.3 rebounds mostly as a reserve.

The Clippers still have the mid-level exception of $5.1 million to use on one or two players.

broderick.turner@latimes.com

Twitter: @BA_Turner