Chavez, 33, batted .234 with one home run and 10 RBIs in 33 games with the A's last season, as a neck injury kept him on the disabled list most of the season. He's battled various injuries over the last three seasons, playing in just 64 games over that span with a .222 batting average, three home runs and 25 RBIs.
The winner of six straight Gold Gloves at third base from 2001-06 while with the A's, Chavez is a career .267 hitter with 230 home runs and 787 RBIs in 1,320 games over 13 seasons in Oakland. He's also reached the postseason five times in his career, batting .222 with three homers and 12 RBIs in 27 games.
Belliard, meanwhile, hit .216 with two home runs and 19 RBIs with the Dodgers in 2010, after batting at least .272 in each of his previous seven seasons. The 35-year-old is also versatile defensively, as he saw time at second base, third base and first base last year.
An All-Star in 2004 while with the Indians, Belliard is a career .273 hitter with 114 home runs and 601 RBIs in 1,484 games over 13 seasons with the Brewers, Rockies, Indians, Cardinals, Nationals and Dodgers. He's also a career .263 hitter in the playoffs, and won the World Series in '06 with the Cardinals.