Cudicini did well as the club's backup and cup keeper during his time at Spurs, but the arrival of Hugo Lloris has relegated Brad Friedel to Cudicini's old job, and Cudicini to the third goalkeeper spot. He was unlikely to land another starting job in the Premier League, and a move overseas is probably a good one for him at this point in his career, especially if his family is interested in living in the United States.
LA's getting a player that, while no longer at the peak of his game, is still incredibly useful. He'll almost certainly provide an instant upgrade to Josh Saunders for the reigning MLS Cup champions and should be the No. 1 for LA from his first day with the team.
Carlo's been a very solid player in his time at Spurs, and I wish him success in LA.