Hello pautamas,
Thank you for your question regarding website migrations. We do have a courtesy website transfer service and there can be costs at times but we would only know after we investigate everything that needs to be transferred. While we do migrate website files/databases we do not migrate emails. We have a list of requirements we need to transfer your website but for your emails you would just need to use an email client to transfer them.
Best Regards,
TJ Edens