I used to love the Yachtsman, until maybe four years ago. They had a change in management, and it went WAY downhill. They've come back a notch since then, but are still not "Cream of the Crop" like they once were.
I have eaten at Le Cellier many times as well. Always had a great meal with excellent service until the last time I was there about six weeks ago. I must have had the worst server ever to work there. He just couldn't get it together. The food was also not as good as it has been in the apst. Very, very disappointing experience. Will I go back? I'm sure. But it's not on the PS list for the next two trips.
We've eaten at Shula's once, last spring, it was a very good meal. I didn't love the decor, just a little too full of testosterone for my taste. Service was very good, and the steak was excellent, although expensive. The dessert, a souffle, was to die for!
We really enjoyed Shula's, and I'm sure will eat there again.
So in answer to your question, Shula's was the best of the three.
Anne