We have stayed at many of the hotels on the strip. A lot of people like to stay mid-strip. We like to stay at the Mandalay Bay end most of the time. Gambling on table games seems to be more reasonable down there at Monte Carlo, Excalibur, NYNY, and Luxor. The mid-strip hotels and the Treasure Island end, for the most part, are more expensive at table games. But, the bus goes up and down the strip so you can just hop on and go wherever you want. Very convenient.
I agree with the others who have said definitely shop around. My husband always does and we always get awesome deals. While you are there, sign up for all of the slot clubs. Signing up at the websites can help you get a good deal this time but the deals you get for being signed up for the slot clubs are much better!! We are going for 8 nights at the end of December and were able to get ALL eight for free and the last free night is New Year's Eve. We have to stay at three different places--The Hotel at Mandalay Bay for 3 nights, Treasure Island for 2 nights, and NYNY for 3 nights--- but it is worth it. And, we are NOT high rollers. Far from it. We also stayed 6 nights free this past summer--Luxor for three nights, and NYNY for three nights. Las Vegas is struggling right now so good deals are out there.
Good luck and have a great time!!
Oh-- and if the choice cam down to either Flamingo or Paris, I would definitely say Paris. We have stayed at Paris and it is pretty nice. We haven't stayed at the Flamingo. Just hasn't ever appealed to us.