The default table names for all objects are listed here:
http://bobsguides.com/modx-object-quick-reference.html#modNamespace.
That said, you'll want not only the chunk, snippet, TV, and template tables, you'll also need all of the intersect tables that might have changed (e.g., modTemplateVarResource, modTemplateVarTemplate, modElementPropertyset, etc.) and possibly the category closure and access permission tables. I would probably just do all the tables. It will actually save you time since the export and import of all tables in PhpMyAdmin will take less time than selecting the tables you want.
Be sure to back up the original DB before importing anything.
I would skip the modx_workspaces table.
Be sure to clear manually delete all files in the core/cache directory before and after the move. You may also want to run setup again after you've moved the tables.