I have an infected cut. How do I get rid of it?

It's a very small wound. My cat was kneading me and pushed too hard, breaking the skin. The wound is literally just a prick. However, the skin around the wound is swollen and deep red, and the scab is yellow-green. It hurts to touch it, and I get "hot flashes" down my entire finger. There's also a slight smell coming from it. Because of this, I'm pretty positive that it's infected. How do I get the infection out? I've been using google and getting mixed results. According to google, I should avoid getting it wet, but soak it four times a day. I should let it get plenty of air, but keep it bandaged. I should kept the scab intact, yet pick it off. I'm so confused as to what advice to follow. Any ideas?