Another vote for CP Breakfast. On our last trip, we decided to do dinner instead and I really wish we hadn't. I didn't like the taste of anything at dinner - it all seemed to be seasoned the same and it was a bit too spicy, even the broccoli! Desserts are my favorite thing at Disney, and none of them appealed to me. The breakfast is much better! The Pooh's puffed french toast is something I long for!
They make fresh pancakes, and last visit they added chocolate chips to ours, sometimes it's the little things! And the character interaction is great.
But, my entire family loves LTT. We've only done dinner there, and if you like traditional Thanksgiving food, I highly recommend trying them out. I'll be doing lunch there in 3 weeks, primarily to try the Ooey Gooey Toffee Cake, but their lunch selections look amazing, too!
If you want a character meal, with IMO very good food, I'd do breakfast at CP. If you're looking for a quieter meal, though, I'd do lunch or dinner at LTT. Aw heck, do one at each!