Move

In the context of Magic: The Gathering, move means to remove a counter from one object and put it on a different object.

Some older cards used “move” with respect to Auras; those cards have received errata in the Oracle card reference and now use the word “attach.”

From the Comprehensive Rules (June 7, 2024—Modern Horizons 3)

• 121.5. If an effect moves cards from a player’s library to that player’s hand without using the word “draw,” the player has not drawn those cards. This makes a difference for abilities that trigger on drawing cards and effects that replace card draws, as well as if the player’s library is empty.