Hi Nathan,
thanks for your post, and sorry for the trouble.
To use the WP Tools XML export/import, you'll indeed have to delete all TablePress tables first. The best way for such a fresh start would then be to uninstall TablePress again, via the corresponding button on the "Plugin Options" screen. That basically removes all traces of the plugin, and you can then start over fresh.
To get the table IDs just like on the old site, the CSV format will indeed not work. However, you could use the JSON format in the TablePress export here. That will export/import all data, settings, ID, etc. of the tables and move them to the new site.
The WP Tools XML way should however also work.
Regards,
Tobias
