Use simple INSERT query. Something like
Code:
INSERT INTO tblNotes (ClientID, NoteDate, Note)
SELECT ClientID, Iif(IsDate(Left([Customer History Notes],8)),CDate(Left([Customer History Notes],8)),SomeOtherDateField), [Customer History Notes]
FROM [Main Client Database]
WHERE [Customer History Notes] Is Not Null
You end with some crap in tblNotes, like Note = '#Error', which you have to remove manually, and those date strings, '**'s, etc. at start of notes (you can remove dates using SUBSTITUTE() in 3rd query field, but as between dates and notes an unidentified number of various strings is used like ' - ', or ' ', or whatever users did come up with, there is no way to extract only note part on full automation).
There is also the question about your Customer History Notes table structure. It looks more like some Projects table. I would have a separate table for customer information (CustomerID, CustomerName, bank details, etc.), and in your current table only CustomerID.