Making the floors quiet

[Stone Teran]

I have noise complaints about kids running around in upstairs apartments.  The kids are good kids but they are hyper due to their young age.  Whenever I need to redo the flooring, I want to either:

1. Replace old carpet with new but use very thick padding

2. Add backerboard and ceramic tile all over.

Would the soft and squishy or the stiff approach work better?