The 26-year-old Conger played 80 games with 70 starts last season for the Angels. A first-round pick in 2006, Conger hit .221 with four homers and a career-high 25 RBIs.
Houston general manager Jeff Luhnow says: ''We scouted him extensively this year as a divisional opponent and feel he brings a unique skill set to our organization.''
Tropeano went 1-3 with a 4.57 ERA in four games for Houston in 2014. He spent most of the season at Triple-A Oklahoma City, where he was 9-5 with a 3.03 ERA in 23 games.
Perez spent last season in Triple-A, hitting .259 with six homers and 34 RBIs.