Quiet first moves in mating puzzles
How to prepare mate when an immediate check falls short.
Find the threat first
Find a mating threat you can create with the first move. Then check every legal reply: the opponent may give check, take a piece you need, or free an escape square. Different replies can require different mating moves.
The opponent must have a move
If the preparatory move gives no check and leaves the opponent with no legal move, the game ends in stalemate before the intended mate.