Las Vegas (Clark County) has an ordinance against RVs overnighting in parking lots and the area surrounding the Fremont St. Experience is kind of seedy. However, there are a pair of fairly nice, $20 a night RV parks about 10 minutes away on the east side of town along Boulder Highway.
Kings Row is a park that has been family owned for over 60 years. It's a 500 space mobile home park that's been converted to RVs except for a section of older but well kept mobile homes in the very rear. Most of the RV spaces are set well back from Boulder Highway.
Roadrunner RV Park is a newer RV park with similar prices but it's right on the highway with smaller spaces.
Both parks are near where I-515 crosses Boulder Highway adjacent to the Boulder Station casino. Kings Row is just to the north on the west side of the street, Roadrunner is about 1/2 mile south on the east side. The city bus runs up and down Boulder Hwy to the Fremont St. district every 10 minutes or so.
They're both easy access from US 95, just take I-515 north towards the Bolder Station casino. The Fremont St. district is about 10 minutes north, Boulder Highway becomes Fremont St. Just north of Kings Row. The Strip is 15 minutes west.
Main St. Casino adjacent to the Fremont St. Experience also has an RV park at similar rates, but it's just a parking lot with hookups underneath the freeway. I'd make reservations now as it's likely to be jammed over New Year's.