Do either of your new employers have a department to help with relocating? Realtors in Las Vegas do handle house rentals. Looking for a no maintenance (desert landscape) yard will be a plus - except that you might prefer some grass for the dogs.
As an example of pricing - My son rented a 4 bed/3bath house for I think about 1200.00 per month in the Summerlin area. At that price he had many houses to choose from and some even had backyard pools. He did have to bring his own washer and dryer though previously he had been able to rent the washer and dryer for an additional 30 or so dollars a month. His previous 2 bedroom apt. rental in the SW side of town was close to 1000.00 so he got a lot more by renting a house.
If you can plan on closer to 1000.00 a month I think you'll have plenty of choices.