As one this site's resident Americans and someone who's spent a lot of time in Vegas, I'll second the notion that it's best to gamble and drink, rather than punt, in Vegas.
If you're committed to having a go, then I suggest signing up for a paid account on the erotic review. You'll have a solid chance of finding a good punt there that won't wind you up in handcuffs.
Basic things to keep in mind are
- Hotels can be very weird about getting girls into your room. At the very least, you'll need to go to the lobby/casino to collect them. In some hotels, you might still encounter a lift guard who'll give them (and you) grief.
- Prices can be quite high, especially with the weak £.
- Vegas is home to a lot of professional strippers and porn stars, who also escort. If you've got a thing for fucking a woman you've seen on screen or for a woman with some unique physical attribute (like H cup tits), Vegas is the place to find them.
- A lot of the kinkiest girls will do incall only, which means you'll want to have a car.
- From Vegas, the nearest legal brothels are in Pahrump, where there are two brothels. Of the two, Shari's Ranch is the more famous and more expensive option. The Chicken Ranch is smaller and cheaper, but has still been in a ZZ Top song. I've been to both and prefer the Chicken Ranch. As with any consumer product, it's cheaper on a Tuesday afternoon than a Saturday night, supply and demand being a thing.
- Finally, regular people come to Vegas and want to have crazy sex, so non-punter sites like Craigslist, Adult Friend Finder, FetLife, etc can be useful if you're willing to put in a little more work. I've fucked 50+ women in Vegas in the last 20 years and more than half of them have been regular women I didn't pay. I did buy some drinks, took at least a dozen to dinner, etc, but I didn't pay them for sex...they fucked me because they wanted to be fucked. Best of this list was the hot bodied 55 yo grandma who squirted while I shot my load in her ass.
So, if all you do is drink and gamble, that's a fine way to spend time in Vegas. If you want more, that's all there too, but it's not the same as back in the U.K., so be aware, be cautious, and keep your wits about you.