Shredder for composting

Does anyone have experience know that toilet paper and paper towel rolls are all compostable. However, my very old shredder just can’t seem to handle the thick paper. Do I just need a new shredder, a higher end shredder? Or don’t shred at all? Comments? THX -- Thomas Waters thomaswaters@mac.com "When evil men plot, good men must plan. When evil men burn and bomb, good men must build and bind. When evil men shout ugly words of hatred, good men must commit themselves to the glories of love." Martin Luther King Jr.