I would like my new website to have the URL of my old website

I have almost completed a new version of our club website - I am a volunteer and not a professional.  

For the past 8+- years we have maintained a Homestead site  www.womensclubglenridge.com  which functions as a  Club information site  and  a Rental business site.  It is linked to from wedding sites, caterers, emagazines  that have event listings (club side) etc.  

I have now created a new website www.test2wcgr.homesteadcloud.com which I would like to take the place of the older website - how do I do this and maintain all of those links... can I just change the old sites name and rename my new site www.womensclubglenridge.com ??... does it have to have the homestead cloud in the url??

TIA !! I am starting to worry... a lot!!