I've been to Vegas twice. First time I stayed at Ceasars Palace, second time Flamingo. They are across the street from each other.
If you're 'into' the hotel room itself I liked Ceasars better. The Flamingo room was a plain hotel room whereas Ceasars room had that shear netting over the bed and a jacuzzi in the room.
(Just tell them you want a room like that--it didnt cost extra.)
Try to take in a show while you're there, get tickets early---they sell out. There is a guy in Vegas (cant think of his name) but he is a singing impressionist. I saw him on Dateline? and he is good! If you're into magic, maybe David Copperfield will be appearing at one of the hotels.
If you call the airlines that go west ask them to send you one of their airplane magazines. In there you will find GREAT hotel bargins and meal coupons! The hotels offer these almost give-a-way prices because they want you to stay there and gamble all your money at their casino. Of course, you're not under obligation, they just hope.
PS Elvis used to stay at the Flamingo when he went to Vegas...of course he got the penthouse.