You might want to also consider the Panasonic FZ5.
It will cost a bit more than the other two, but it has image stabilization.
But since you would like a large LCD, you should check out the newly introduced Panasonic FZ7. It is just like the FZ5 but has 6 megapixel and a 2.5 inch LCD and a stronger flash.
The FZ7 is not yet available in stores.
I am buying my third digital camera, the other two were given to family members. I am considering either a Olympus SP500 UZ (like the 2.5 inch LCD), a Fuji S5200 (good ratings) or a Sony DSCH1 (a little out of my price range). As you can see, I am looking for a 10x zoom and a 5 or 6 MP camera. May I have you opinions ? Also, if you like a different camera with like characteristics I would like to hear from you...