LA eating dilemma

So here goes. Knowing very little about the dining scene in LA, I was advised to try some rather expensive eateries. This is okay, except that I can only afford one, and I need some help deciding where to go. The two choices are Lucques and Chinoise on Main. I feel like vistiting a Wolfgang Puck establishment is a must, but I also love a great meal and I've heard Lucques is one of the best.