1. Wash your hands thoroughly before using the iPad. I recommend using dish soap.
2. Don't touch the iPad. The capacitive screen will actually sense your finger a small distance from the screen. Practice getting as close to the screen as you can without touching it, then move half the remaining distance closer. Repeat. Repeat. Repeat. 😉
3. Use a stylus when you don't need multitouch. Keep the stylus clean.