I wouldn’t worry too much about it – just download all databases and files.
And if you’re uploading them to the new server, change the wp-config files and run the following queries on the databases:
UPDATE wp_options SET option_value = replace(option_value, 'http://www.example.com', 'http://www.newurl.com') WHERE option_name="home" OR option_name="siteurl";
UPDATE wp_posts SET guid = replace(guid, 'http://www.example.com','http://www.newurl.com');
UPDATE wp_posts SET post_content = replace(post_content, 'http://www.example.com/', 'http://www.newurl.com');
If your permalinks are still not working, delete the .htaccess file, and go to Settings->Permalinks and click save to create the .htaccess file.