Continuity mistake: When Jr. is walking out of Hollie's room with the freshly printed posters, the box is on the floor with the flap open by the leg of the table. When we see Jr. leaving from the box's POV, the box has rotated and the table leg can no longer be seen by the flap of the box. (00:14:20)
Continuity mistake: When at Tuco's house, Jesse is first shown emptying his pockets and then getting everything back, even going as far as showing the clean table at the first timestamp, but when he's back at his car at the second timestamp, he doesn't have his keys, supposedly left at the table. (00:32:23 - 00:43:24)
Continuity mistake: When the woman is collecting the clothing at the Hi-Lo Mart, the position of the shoes she is carrying changes between shots. In the first shot the toes of the shoe are pointed at the ground, In the second they are aimed up over her shoulder. (00:03:00)
Continuity mistake: When we see the shop worker walking through the Hi-Lo Mart, most of the shots are flipped. Pay attention to the price tags and in particular the name tag on the shop worker, plus the items she has gathered swap from her left arm to her right. (00:03:20)
Continuity mistake: When Skyler and Walt are reunited in the hospital, Skyler is holding Walts hand up by his face. As the camera changes angle however, their hands are much lower. (00:05:20)
Continuity mistake: Jesse takes the mask off Badger and throws it towards the camera. In one shot the mask has dropped below the camera, but a shot later the mask catches on the camera (as it's intended to). (00:11:05)
Continuity mistake: Skyler is holding Walt's hand with both of hers at the hospital when she asks what it was that caused him to end up there. Camera cuts and one hand is now on her baby bump. (00:13:25)
Continuity mistake: Walt Jr gets Walt Sr to drink apple juice in the hospital, he takes a drink from a cup that's 3/4 full, then sits the half full cup down. Hank comes in and camera focuses on him. When the camera returns to a wider shot the cup of apple juice is now 3/4 full again. (00:40:35)
Continuity mistake: When Walt gets home, Skyler puts her bag on the sofa and is browsing in the bag with her right arm. Camera cuts and now she's using her left arm. (00:42:10)
Continuity mistake: At the end, Skyler is applying lotion to her arm and her arm is upright. Camera changes and now it's horizontal. (00:42:50)
Continuity mistake: Walt is making pancakes and there's 1 pancake left in the pan. Skyler walks in and now there's 2. (00:04:35)
Chosen answer: I'm not sure how far you are into the show but he does eventually come up with a way to launder it (wont spoil it for you but rest assured, when he gets a lawyer the show gets much better!) and in the final season he also comes up with a way to give his children his money without the cops or the DA knowing it came from him.
The_Iceman