Continuity mistake: While Gus speaks with Eladio beside the pool the sun changes on the floor between shots.
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Problem Dog - S4-E7
Continuity mistake: When Jesse is emptying the cigarette, his fingers are right at the end of the cigarette. Camera cuts and now they are up the other end. (00:19:20)
Box Cutter - S4-E1
Continuity mistake: During the diner scene when Jesse is eating, Walt asks him how he's doing. Jesse's head changes positions several times between shots. From looking out of the window, to back down at his plate, to back out of the window, to straight ahead again, all between shots.
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