The Good, the Bad and the Cursed - S3-E14
Continuity mistake: When Cole and Prue are about to shimmer to the other plain to find BO, Cole's face has not been shaved. But when they reach the other plain, his face is cleanshaven.
Pre-Witched - S3-E17
Continuity mistake: When Piper is sitting with Leo on the tailgate of the SUV, when shown from the front her hair is in front of her shoulder and ear, but from the back we see it tucked behind her ear. This switches constantly throughout the scene.
Continuity mistake: When Prue talks to Piper after stopping her phone conversation, she tells her that "the Sin Balls work a lot faster than [they] thought. Once infected, the victim only has a few hours before it drives them to total self-destruction." However, this is almost verbatim what was written in the Book of Shadows. It could be easily read by the viewing audience when the book entry was shown. So all three sisters should already know this.
Continuity mistake: When Prue telekinetically moves the sin ball box across the street she moves it ALL the way across but when the man infected with greed goes to get the box, the box is only halfway across the street.
Continuity mistake: When Prue and Piper leave to help the hostage, Piper asks Leo, "Do you think she's mad?" Her hair is in front of her shoulders. Immediately afterwards, she sits on the couch with Leo. Her hair is behind her shoulders.
Continuity mistake: During the scene where Piper is ordering merchandise from Bloomingdale's and Prue, she and Phoebe realize the "sin balls" infected them. Piper's hair constantly changes from being in front of her shoulders and behind them.
The Demon Who Came In from the Cold - S3-E19
Continuity mistake: When Phoebe and Cole are talking about him going undercover into the Brotherhood, Phoebe's grip on her pestle changes back and forth between shots. (00:10:15)
Continuity mistake: When Piper accidentally destroys the clock at the passport agency, she freezes in fear with her hands near her face. In the next shot, her left hand is suddenly back by her ponytail. (00:13:40)
Continuity mistake: When Prue, Phoebe, and Leo enter the kitchen to find Piper covered in watermelon, the amount of fruit on Piper changes in the next shot. Her hands also change from being supine to prone. (00:19:00)
Continuity mistake: When Piper accidentally blows up the teapot, she has her hands up by her chest, in Prue's, but in the next shot her arms are down by her sides. (00:19:55)
Continuity mistake: Piper says she wants to go to Paris by plane not by orbing, but in the episode "From Fear to Eternity" flying was Piper's greatest fear.
Continuity mistake: When Phoebe and Prue look in the Book of Shadows for the spell to summon Belthazor, it is written with the same artistic calligraphy as the rest of the Book. But this spell was written by the sisters themselves in episode 3-8: "Sleuthing With the Enemy." As a result, it should have a handwritten appearance similar to the pages Phoebe was working on at the beginning of this episode.
Continuity mistake: When Phoebe adds the photos to the Book of Shadows, Phoebe writes "Cole's human form" with large letters, then in the shot facing Phoebe as she says, "Your date, the guy you've been smooching," we see it's underlined with smaller writing, but in following shots it's back to the original larger lettering without the underline.
Continuity mistake: When the banshee came to the attic, she smashed all of the windows, except for some in the middle of the big window, but in the next shot that glass was gone.
All Hell Breaks Loose - S3-E22
Continuity mistake: When they first bring the doctor to the manor the sisters tell him they're not sure who's trying to kill him, then a few minutes later Prue tells him exactly whose trying to kill him, Shax, the Source's assassin.
Continuity mistake: After Phoebe has her premonition about Paige at Prue's funeral, demonic bounty hunters show up to "eliminate" Belthazor. We see the funeral hall empty where seconds before Phoebe's premonition, there was a line of people waiting to give their condolences to the girls, Victor, Leo and Cole. (00:12:20 - 00:13:10)
Continuity mistake: During Prue's funeral when the demonic bounty hunters attack, one gets thrown into some chairs, which knocks some down. When we see the chairs again in another shot the ones left standing and the ones knocked down have changed. (00:13:25)
Continuity mistake: Piper does not light the candles before she summons Grams, but in the episode 'PreWitched' (when Grams summons Patty) we see that the candles must be kept alight to maintain the connection with the dead. (00:18:00 - 00:33:30)
Continuity mistake: In the church scene when Phoebe and Piper are showing Paige how to use her power, Piper says "according to the prophecy, the third sister has the power to move things with her mind, like Prue could." Prue was not the third sister, but the first. Paige is technically The Fourth Sister, but since the prophecy didn't speak of a "Power of Four", she would automatically become the third sister after Prue's death. (01:02:42)
Continuity mistake: In the scene with Paige and Jordan Bridges' character, nearer the end, when they are sitting on the couch and his possessed character leans in for a kiss, from the back shot, he leans in and his head is tilting towards his right shoulder (you see part of his profile and the back of his head and Paige's face); when they change the shot so you see the front of his face and the back of Paige's head, his head is tilted back towards his left shoulder.
Answer: That was a mistake in the series.
Also, the episode is called 'Babies First Demon' and this alone tells us that it's Wyatt's first time in the field (so to speak) and as the sisters say, they've done a good job of clearing up their own magical messes so far. Nobody really knows how advanced Wyatt's powers are, or will become. That's why the cleaners appear, to nip things in the bud. The Cleaners didn't want to chance that the sisters could clean Wyatt's magic up, just incase they couldn't. Therefore intervening themselves, just in case.