Have to disagree with the recommendation to go to Las Vegas North. I flew into McCarran and used Executive Air (or someting like that!) - brilliant!
Fuels a bit more expensive but they didn't charge me for parking and provided free courtesy buses to the hotels - and (wait for it!) you get proper 'follow-me's and everthing. Felt like I was driving a 747 (with three engines out!). And its maybe 3 minutes to the big hotels.
Best bit was taking off down the strip with all the hotels on your right - wife got some great photos!
Oh, and make sure you night stop somewhere in the middle of nowhere (CA or AZ). Friendliest folks in the world, I spent a night in Firebaugh, CA which is a one-horse agricultural town - great little bar behind the diner (top totty too, surprisingly!). Motel was a different story, but hey, thats the experience!