We've had our home warranty for over 10 years now. It has def. come in handy. We have a wall oven that would go on the fritz every time I used self clean ( I figured out what was going on after the 3rd time). Our "deductable" was $50 and the service person came out and fixed it each time within a day or two of me calling. The repair guy said the fix would cost about $150 if I didn't have the warranty.
We pay about $500 per year and that covers all of our appliances, hot water heater, central air, gas heater, etc.
Whenever we have to file a claim, we call our warranty call center (which is open 24 hours a day) and then they contact the service people.