Follow this steps:
you can move your multi-site root to ms folder Then
step 1: change the database url into options table for both site and all other url.
ex: example.com TO example.com/ms/
step 2: DB wp_site table SET your domain name and path:
ex: domain :example.com
PATH: /ms/
DB wp_blogs table SET your domain name and path for both site:
ex: domain :example.com
PATH: /ms/
PATH: /ms/your-newtwok-site-name/
step 3: httaces code and wp-config code comments for multi-site. only default code are reaming
step 4: Run your main site it’s work after add this line into config.
define( 'WP_ALLOW_MULTISITE', true );
step 5: Login into admin and goto the tools menu. if it’s display the message like your plugin disable then disable your plugin and get your new httaces and wp-config code for multi-site after that enable your plugin.
i am done my multi-site move to local to live. hope is work for you.
Note: Please backup your db and files.