When PlayerA plays Merlin while they already have Magic Brooms in play, both triggered abilities [NEAT AND TIDY] and [WATCH OUT, HERE I COME!] trigger simultaneously and enter the Bag.
PlayerA can choose either of these two abilities, resolve it, then resolve the second ability. It is not necessary to announce the order in which these abilities will be resolved when they enter the Bag.
Demonstrating awareness of a triggered ability at the first moment it impacts the game is sufficient to not have forgotten the triggered ability.

PlayerA plays Be Prepared while Player B has Lyle Tiberius Rourke in play. All characters are exiled at the same time.
When they leave the play area, this triggers Lyle's ability [YOU'RE THE MAN FOR THE JOB] for each of PlayerB's other exiled characters.
Player A loses corresponding Lore shards even though Lyle Tiberius Rourke is also exiled.

PlayerA plays Be Prepared while PlayerB has Hades God of the Underworld in play. All characters are exiled at the same time.
When they leave the play area, this triggers Hades' ability [SOUL COLLECTOR] for each of PlayerB's other exiled characters.
PlayerB gains the corresponding Lore shards even though Hades is also exiled simultaneously.

PlayerA played Pat Referee on the previous turn. PlayerB plays Prince Naveen and wants to use his ability [ISN'T THIS WONDERFUL?].
Although the ability allows playing a song for free, Pat's ability preventing actions from being played (and by extension songs) takes precedence over Naveen's: the song cannot be played.

PlayerA plays Bibbidi Bobbidi Boo choosing to return their Flounder Voice of Reason to hand. The player can then decide either:

• to "replay" Flounder;
• to play another character costing the same or less;
• to not play anything at all.

From the moment the card arrives in their hand, the information about which card was returned becomes hidden: it's a hidden zone, the player can notably choose not to play a character.

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