Oh
so you dont need to move the website from one server to another,
basically you only want to change the sites domain name
i would say:
https://wordpress.org/plugins/better-search-replace/
with this plugin you can replace all occurences of your old url with the new one.
do this. now probably the website doesnt work when you try to access it with the old url.
now change the url in your webhost settings. then you should be able to access your site with the new url i think.
make sure to create a backup before doing that!
