To move LiteCart from one place to another. All you need to do is move the complete set of files and folders and edit the following:

1. ~/.htaccess

  ErrorDocument 403 /webpath/to/error_document?code=403
  ErrorDocument 404 /webpath/to/error_document?code=404
  ErrorDocument 410 /webpath/to/error_document?code=410

  RewriteBase /webpath/to/application/

  #  AuthUserFile "/server/side/path/to/admin/.htpasswd"

2. ~/admin/.htaccess

  AuthUserFile "/server/side/path/to/admin/.htpasswd"

3. If you also moved database then put the new credentials in ~/includes/config.inc.php

  define('DB_SERVER', 'my.mysqlserver.com');
  define('DB_USERNAME', 'myusername');
  define('DB_PASSWORD', 'mypassword');
  define('DB_DATABASE', 'mydatabase');
  define('DB_TABLE_PREFIX', 'lc');

Done!

If you use any add-ons that might require full paths e.g. Deploy Changes be sure to edit includes/config.inc.php.