Shady Traveler // Stalking Predator

• WOTC Official Reminder Textofficial rules
  Daybound — If a player casts no spells during their own turn, it becomes night next turn.
• WOTC Official Reminder Textofficial rules
  Menace — This creature can't be blocked except by two or more creatures.
• WOTC Official Reminder Textofficial rules
  Nightbound — If a player casts at least two spells during their own turn, it becomes day next turn.

• WWizards of the Coast2021-09-24
  Official Ruling
  If it is night, and the active player of the previous turn cast two or more spells during their turn, it becomes day.
• WWizards of the Coast2021-09-24
  Official Ruling
  Day and night are designations that the game itself can have. The game starts as neither. Once the game becomes day (or less commonly, night), the game will be exactly one of them—day or night—going back and forth for the rest of the game.
• WWizards of the Coast2021-09-24
  Official Ruling
  If it is night, permanents with daybound that enter the battlefield without being cast will enter with their nightbound faces up.
• WWizards of the Coast2021-09-24
  Official Ruling
  If you cast a spell with daybound during night, that spell will be front face up (that is, daybound face up) on the stack. However, it will enter the battlefield with its back face up (that is, with its nightbound face up). It won't enter with its daybound face up and then transform.
• WWizards of the Coast2021-09-24
  Official Ruling
  If it is day, and the active player of the previous turn cast no spells during their turn, it becomes night.
• WWizards of the Coast2021-09-24
  Official Ruling
  If it's neither day nor night, and a creature with daybound and a creature with nightbound somehow appear on the battlefield at the same time, it becomes day. The creature with nightbound will transform.
• WWizards of the Coast2021-09-24
  Official Ruling
  Before a player untaps their permanents during the untap step, the game checks to see if the day/night designation should change.
• WWizards of the Coast2021-09-24
  Official Ruling
  Permanents with daybound and nightbound can't transform via any means other than their daybound and nightbound abilities. Notably, older cards such as Moonmist that instruct a player to transform permanents don't affect permanents with daybound or nightbound.
• WWizards of the Coast2021-09-24
  Official Ruling
  Double-faced permanents with daybound transform to their nightbound faces as it becomes night. Similarly, double-faced permanents with nightbound transform to their daybound faces as it becomes day. This happens immediately and is not a state-based action. It happens any time it becomes day or night, not just during the untap step.

Rulings via Scryfall