I note that AbanteCart includes a conversion tool to move other shopping carts to AbanteCart. How about a similar tool to move a working AbanteCart v x.x.x to another host. In other words, install the latest AbanteCart on another host and run the setup. Then use the tool to move all of the files, data, images, templates, etc. to the new host so that the new cart is identical to the old, plus installed on the latest version of the software.
Is this difficult?