You can usually find a place at "Sunset" camp across from Furnace creek, no hookups but water and dump available. Also sites are usually available at "Stovepipe wells" no hookups but dump and water available. There are about 20 sites run by the hotel at stovepipe wells, full hookups, that could be available first come first serve, check at the hotel desk. As long as it is not spring break, you should not have any trouble finding a spot to camp. Just a note, fill up with fuel before you enter the park. Check the web site.
Death ValleyWhen it comes up, click on Campgrounds on the right side.