Belle-
I prefer the LV Hilton, mostly because of its location. Close to everything, yet it has easy access compared to the big hotels on the strip. Much less of a headache if you are driving. The Flamingo is a nightmare to get in and out of. It also has a lot of specials.
Bally's is probably another good choice. Don't know if you are aware, but it is connected to the new Paris hotel (another hilton). Be sure to check out Tres Jazz, a great resturant that is inside, right between the two hotels.
I LOVE LAS VEGAS!!!