I just moved three days ago. I had access to all the files/folders/sql that I needed. I had the instructions on what to do. It still drove me crazy.
There is a tutorial:
https://www.zen-cart.com/tutorials/i...hp?article=100
But you need to export the entire sql from the old server. Is there nobody anywhere in the organization that can get in there and run a quick export for you?
You said you've got XML of all the individual tables - if you're 100% sure that these are all the tables from the old db, maybe you can import them one at a time. (I think you can import data to sql db via xml files, but I am only 2mm above the newbie stage, so I may be wrong.)
For the part about bits - just pull it all. If you try and pick/pull you are going to end up with alphabyte soup. Per the tutorial - install ZC on new server, move over every single file you've got from the old folder and overwrite - except for the two configs, import the old sql db, fix the two configure files to point to the right place (I really screwed that one up.) and you're done.
Good Luck.