A question about recycling.

I'm having a bit of a clear out of papers, documents etc that are cluttering up my flat. Some of have confidential info on it, such as old bank statements, so I'm going to shred them.

So my question, and this may be a dim one, but how do I recycle shredded paper ? Can I put it in the same public paper recycling bins ?

I'm sure one of my greenie readers will know the answer :-)