Hi andimok, Welcome to ePlaya!!Random answers:
For sleeping - just bring a tent.
I drive/fly down from Canada every year and it it pretty straight forward. Not particularly helpful? Look for what you NEED to Bring (water, food, meds, warm/cool clothes, foot covering, etc) then for things that are good to have (like a "dust proof tent", cooler, bike) and possible "luxuries" like a shade structure, bike, beer cooler, etc. Start making lists, looking for things and then checking to see if other people have tried them (research). If possible, look for a Burning Man group in your area (or the area that you plan on going to). Local burners are happy to guide virgins (burgins)...
If you are stressed about "ALL THE THINGS", how about something like Green Tortoise. I have met people from all over the world who have travelled/camped with this group...
There are porta-potties provided, but everything else is up to you. It is only a week, and there is really no humidity so showering is not "really" necessary.
If you want to find answers try using google like so: eplaya finding a theme camp or eplaya renting a car or eplaya what is the best tent
or something like that. You will get assorted answers from ePlaya.
Maybe looking at the survival guide will give you a sense of perspective? http://survival.burningman.com/
If you have not already noticed, ePlaya has something called "Snark" - Where you start to get ridiculous/rude responses to your questions. These responses are prompted by the regular users seeing the exact same questions asked 100's of times every year. (thus my google hint)
Once you seriously get into researching, and find that very specific questions are needed (like "I have a 10x10 popup shade structure that I am reinforcing with fence posts and plan on attaching to the ground with 18 inch reebar and parachute cord, what is the best way to attach the shade poles to the fence posts??")- you will find the reponses a little less snarky and more helpful... That kind of question indicates that you have the beginnings of a plan and will prompt mostly useful responses.
I hope this helps...