I have a site, www.AtWoodlandHills.com. I'm in the cyber-process of getting the domain name that is most often used to date. www.WoodlandHillsEventCenter.com LunarPages has assured me that all I'll need to do it upload & it will supercede the site that is active now. Can I just change the name of the AWH site to WHEC? I plan to redirect AWH for a while to WHEC when this is done so I'll not need both sites.

I would think all you need to do is upload the site to the AWH folder...IMO:)

yep pretty much what Bruzer said, and be sure that if you put it into a different folder than what you have the other one in (and if it's going to stay where you are putting it now) that you update any links to pages and graphics if needed, other than that it should be set to go.