Miller, 38, served as Anaheim's backup netminder and posted a .912 save percentage across 20 games. His new deal carries an AAV worth $1.125 million, per The Athletic's Eric Stephens.
Holzer's deal is worth $850,000 and Grant's is worth $700,000, Stephens adds.
Holzer suited up in 22 games for the Ducks last season, notching five points in just over 16 minutes per night.
Grant was acquired from the Pittsburgh Penguins midway through the 2018-19 campaign and registered nine points in 31 games for Anaheim.