Continuity mistake: When Walt is practicing his pistol draw in his apartment, he drags over a chair in which to sit during his practice. When he is dragging it, he aligns it directly against the carpet. However, a few seconds later, another shot shows that the chair is now inches away from the carpet, despite him never adjusting the chair.
Continuity mistake: When Andrea drives off we can see 3 bikes parked up by Jesse's house and a car either side of the bikes. When Jesse turns to walk in one car has disappeared. (00:28:35)
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