Continuity mistake: When Skylar is packing, one shot of her has one color clothes that she's putting in the suitcase and the next shot of her has different color clothes. This happens two or three times. (00:39:00)
Continuity mistake: Sitting outside a crack house looking for Jesse, Mike and Walt are talking in Mike's car. When Mike says he could just be mugged or shot, the camera is behind their heads. Walt turns his head towards Mike while he's saying this. When the camera angle changes, suddenly Walt is looking out of the passenger window again.
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