So you can spend your time enjoying/exploring, consider a swamp cooler for a box truck. For a DIY swamp cooler for a box truck, look atviewtopic.php?f=277&t=35289&start=270#p914007
in the Box Truck camping tips..., viewtopic.php?f=277&t=35289
which you want to take the time to read through anyway.
As to all the chairs, tables, tarps, etc.. How much time to expect to spend at camp, or will you be out exploring?
Folding canvas chairs are typically $10.
Cruise America in Salt Lake City rents to lots of Burners. I returned mine there with no cleaning fee (I cleaned it).
I believe that any of the Cruise America locations will rent to Burners. Some advertise it. When you reserve, you're usually reserving by phone through a central booking agent; they let you know what size of RV and location is still available.
Las Vegas to Reno can be a hot rough drive. If you make a wrong turn, it can be outback dangerous.
Salt Lake City is slightly longer, no where near as hot, but you can have huge winds in the mountains and on the salt flats - not good.
San Fran, Sacramento, San Jose, etc., are much better choices.
Have heard of much better rates for RVs out of Los Vegas, but from local RV places, not the chains like Cruise America. Apparently half the rental cost, and tons more free miles. I don't have any names for you.
RVs here are built for typical U.S. heat, but not for the temps & sun we can get on playa, and they assume that most RV users pull into RV camps, and plug into electricity and run the A/C. An RV will require lots and lots of A/C, or some A/C with heat reflective covers (taped in place inside or outside) on windows & skylights, or else you'll be retreating outside well before noon as the RV is too hot inside. RV window frames become too hot to touch after just a few hours in the sun. I've burnt my finger on one.
Unless you have a lot of gas to burn for the generator for the A/C, a box truck with a swamp cooler will be a lot cooler.
And the cost of building a swamp cooler and the battery for it is a small fraction compared to the cost of the gas and generator-hourly-fee from Cruise America. And you won't have the A/C or generator noise.
(exact design that works on playa is available, and easy to put together, parts ordered mail-order to UPS stores in reno can be waiting for you, cooler pads can be had in Fernly outside Reno, or mail-ordered too)
If you go for a box truck, to avoid a disaster
, pay close attention
in the Box Camping thread as to who NOT to rent from
, and where to rent from