There's a popular game, Timeline ( https://boardgamegeek.com/boardgame/128664/timeline ), involving placing events (represented on cards) in the proper chronological sequence. Due to modern sensitivities, many of the cards have titles of the form "The discovery of America (by Europeans)".
But mostly they don't. "Invention of the printing press", explicitly lacking the "(by Europeans)" rider, is located in the 15th century, several hundred years after the invention of the printing press. None of this stuff is hard to look up.
The printing press is a mechanical device which mass-produces books by pressing inked plates against paper. Movable type is just a way to construct printing plates. It makes no difference to the press.
I'm intrigued that you believe China invented movable type without inventing a press that could use it. But suffice it to say that while movable type did not catch on in China, printing and printing presses were huge.