Not sure about strip joints, only one i;ve ever been to in Vegas was one right on Fremont St. I've heard good things about Cheetahs though.
If you've never been to Vegas before, its probably better to look through the yellow pages...if I remember right, the escorts are labeled under "entertainment" not escorts. Safer that way. There is a lot to choose from....pages and pages, I cant remember any specific ones. If you're staying in a hotel/casino along the strip, you won't have a problem getting laid.
One thing to avoid is the cards thats the Mexicans will hand you along the strip. They are usually a bit bigger than a business card, maybe the size of a hockey card. The Mexicans that hand them out all wear neon colours, and they like tap the cards as you walk by them, making a clicking noise, some actually will put the cards right in your hands. The cards have a picture of a very hot woman, and a really low price...say like 39 dollars. I took the cards from them, just as a funny souvenir, but don't call the number. It sounds cheap, but thats just for her(and by her I mean some other girl that isnt on the card) to show up, after that, the upselling starts. You'll be lucky to get a 200 dollar backrub.
If you're a late night gambler, most of the SPs troll along the casinos looking for you, you dont really have to look for them. Fancier casinos like Bellagio and Wynn do a pretty good job at keeping them out. You find more of them along the north end of the strip. Sahara and Strasophere mainly. The north end of the strip is a bit "lower class" though...they're still worth checking out, but from a pooning standpoint, think of them as closer to street workers. MGM Grand, which is along the south end is where I had the most luck....nice mix of high rollers and middle class, and if you're gambling long enough, and by yourself, its only a matter of time until a girl will come up to you, play the same tabe as you, and always make just the minimum bet. One thing leads to another, and she asks about your hotel room...im sure you know where thats going. One thing though, if you're looking to pick someone up that way, make sure you do it in the casino you're staying in. The girls wont leave the casino they are in. So if you're registered at Tropicana, and you wander across the street to MGM Grand, the girl most likely wont go outside with you. So either be prepared to rent another room, or keep your mongering in the casino you're staying at. Oh yeah...if you're a bit of a bigger spender, don't use the in room safes...casino are not liable for any theft out of them. When you check in, ask to speak to the manager, and get him/her to hold your money, and let them count how much is there. If anything is stolen, they're responsible. I mean, if you just have a few thousand dollars, hotel room safe is fine, but if you're really spending, cover your ass.