This also is going to largely depend upon what is available in your locality. As with your local recycling center, you will need to determine what materials they will accept and what they will not accept. Some places will ask that you separate colored and white sheets of paper, others will take all of your paper so long as you use the receptacle they provide you with.
Once one of these services pick up the goods to be recycled, they will often dispose of the information within 24 hours. If you run a busy office, you will definitely want to take advantage of a service that comes to you to pick up your materials.
While the materials are waiting to be picked up, it is important that you maintain security. Depending on the service, you may want to keep the confidential recycling in a place with limited access. Schedule your pickups based upon the amount of confidential recycling you will need. If you clean out private files every six months, you may not need the services on a regular basis. On the other hand, if you deal with confidential paper waste on a daily basis, you may wish to have a daily - or at least weekly - service to avoid accumulation.