The next time you polish a fork, dip a length of cotton twine into silver polish, and rub it between the tines. This will help remove every trace of tarnish from those hard-to-reach crevices.
Never use paper towel to clean or dry silver, it is like using wood on your silver, which is what paper products are made.
I would recommend using a flattened Q-tip. I'm a silver restoration, conservation, and preservationist. You'll find the most thoroughly researched and practiced silver care information in my Silver Care Guide here: http://www.hermansilver.com/care.htm.
Much healthier than using silver polish yet just as effective: polish with toothpaste.