The choices are made in turn order starting with you. However, all chosen permanents are destroyed simultaneously.

None of the chosen permanents are targeted. A player can choose a creature with protection from red, for example.

If a permanent has more than one of the listed types, it can be chosen for any of them. For example, if the player to your left controls an artifact creature, you could choose it as the creature, the artifact, or both.

The player on your right can choose the Ogre that Grenzo’s Rebuttal creates.