Allowing the faucet to drip so the pipes don't freeze? Good, this relieves pressure on your home's water system.
Run cold water... and all you need is a trickle of water to keep it flowing through the pipes consistently.
ALso, you only need one dripping faucet, but you want to make sure it's in the right location. If you know where your water comes into your house, turn on a cold water faucet at the other end of the house so it can travel through the entire system.