מערכות לבניית אתרים - לייבסיטי, וויקס, וויבלי, וורדפרס
There are many web site building platforms, some have free basic plans, but cost more when you want the whole pack. The only truly free ones are open code builders, such as Wordpress and Joomla.
Note: You can't transfer a site from a closed platform (such as Weebly or Wix) to an open platform. Compare open code Vs closed code here.