Good Morning,
I've run my own dedicated server for over 15 years, I routinely import and export data for, from and to my client's for testing purposes so that I can debug their websites while leaving them online. My client's have everything from simple hosting, virtual machines through to co-located servers.
A google search of "Philip Clarke" and phpMyAdmin, brings up myself, a long time ago I designed part of the tool that would be ideal for importing and exporting your data.
I admit I'm a little expensive, but that is more than compensated for by the speed and reliability with which I work.
Thank you
Philip Clarke.