Let me reply to this. Since I got back into knives, I have cut myself about once a week. Stupid, clumsy SoB. But I tell you what, I know how to treat the wound properly, at least!
1. Get a bottle of hydrogen peroxide (HyPer) from the pharmacy, and some Q-tips
2. Get a tube of bacytracin or other triple antibiotic ointment
3. Get some good band-aids
When you cut yourself, first thing is to stop the bleeding. Hold the hand above the head and apply pressure for awhile.
Once it slows down, band-aid it tightly until it stops bleeding.
Then, dip a Q-tip in the HyPer. get ready for the pain and swab the cut. The sizzle means it's killing germs, you dirty SoB. Then, put a tiny amount of bacitracin on the cut, and band-aid it again.
Clean that cut twice a day with HyPer. Don't wash your hands. Use the other hand to wipe yourself. You can use the hand santizer, if you have some around.
If you do this ^ it will heal twice as quickly, and with less pain than if you hadn't kept it properly clean.
There's no excuse to have an infected cut in this day and age.