Message # 1
Is it possible to change my site address without creating a new site?
Message # 2
HyperActive, It's impossible to change your address if you're using subdomain and you'll change it to another subdomain.
From website.ucoz.com up to website.ucoz.net
But if you have your own domain, it's possible to change it.
Message # 3
HyperActive, please see the following thread on how you can attach a custom domain to your website: http://forum.ucoz.com/forum/37-435-1
I'm not active on the forum anymore. Please contact other forum staff.