Good day,
I can do the move to the new server, but you have not included any details about the current implementation.
I will do this for you for $150 provided that you provide me with cpanel access and ftp access and up to the size of 500 MB for files. If more size it will be extra. Also if you do not have cpanel acces and have SSH access it will be an extra as well.
Please chat with me before awarding.
Regards,