Try using this expression as a test on a single file.
(.*\d*) - \d ( - .* - .*)
Grouping 1 aka \1 (.*\d*)
This will be needed to changed based on what this is. I put both the .* for lettering and \d* for numbering but you will have to fine tune that part to match what your files actually contain.
Will remove the first hyphen and the 01 number you put in your example.
( - .* - .*)
This one will grab everything else according to your example.
Hyphen, .* grabs artist, Hyphen again, .* grabs title.
Hope this helps.