If you're Irish and looking to save a few bucks on your stay in Las Vegas, think about staying at Fitzgerald's, also known as Fitz Casino and Hotel on Fremont Street in Downtown Las Vegas. It's a cheap hotel, and it certainly shows, but it's also about 1/4 of the price of a standard room at a place like Caesar's Palace.Fitz has been around since the late 1970's on the eastern side of Fremont Street. That would be the end farthest away from The Plaza, which is currently shuttered and will be re-opening who-knows-when. Fitzgerald's has not shut down, although there have been plenty of rumors that it would be sold in the past few years. It's quite a historic location, as it was the casino where Rip Torn's character is killed in the legendary movie "Dodgeball: A True Underdog Story".