Coleman, 31, is a former seventh-round pick of the Eagles back in 2010. He spent four years with the Eagles before joining the Chiefs for the 2014 season.
The Panthers later signed Coleman to a four-year, $18.2 million contract before releasing him last year. From there, he joined the Saints on a three-year contract worth up to $18 million, but was released this past February in a move that freed up $4 million of cap room.
In 2018, Coleman appeared in all 16 games for the Saints and recorded 31 tackles, no interceptions, and a forced fumble.
Bush, 32, wound up signing with the Falcons as an undrafted free agent out of South Carolina State back in 2010. He lasted over one year in Atlanta before he was later signed off of their practice squad by the Broncos.
Denver waived him at the start of the 2012 season and he was later claimed by the Saints. New Orleans elected to match a restricted tender the Falcons signed him to back in 2014, but he later departed in free agency for a one-year deal with the Lions.
Bush returned to the Saints for the 2017 season before joining the Bills last year.
For his career, Bush recorded 222 tackles, 3.5 sacks, three interceptions, a defensive touchdown, a forced fumble, and 12 pass defenses over the course of eight seasons.