I just today finished migrating peq42.com(website and domain) to a new host. The entire database and everything else is the same so no accounts were lost, nor save games.
What has changed is performance. The new host provides much faster SSDs, two cores and 4 threads instead of just 1 core 1 thread and much mode up-to-date versions of MySQL and PHP. On top of that, it offers services like Varnish Cache and Google Pagespeed.
All of that togethet means that navigation, download, upload of saves, etc is all MUCH faster than before!