Continuity mistake: Mike wrote 'Fuck You' horizontally on the paper but when Gomey read that, it is at an angle. (00:10:30 - 00:11:40)
Continuity mistake: At the dinner table, after Walt tells Jesse that this business is all he has left, he is holding his glass and spinning it around by the top with his fingers. When the angle changes to show his face, suddenly his hand is balled in a fist behind his glass.
Continuity mistake: After Skyler excuses herself from the table, Jesse looks awkwardly to the side after taking a bite of green beans. As he does from the front angle, his left arm folds in front of his chest and he puts it under his outstretched right arm holding his fork. When the angle changes to the side, suddenly his left arm is out holding his glass of water.
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