@Judy P.
American home shield is by far the worst, I had it before and was told by the technician it's their lowest priority and they only do bandaid fixes if possible.
I recommend fidelity home warranty, they are the best, I have them for all my rentals in Washington, for some reason they always replace my appliances when I make a service call. I've had 1 rental that had a failed water heater and furnace within 4 month of purchase, I made a rush service call and they came out next day replaced them free of charge. Extremely satisfied saved me probably 7k considering the labor in washington. Not to mention I had fridges and electrical fixes. I average 1 big replacement or fix per year per rental, basically the warranty pays it self.
In my opinion you dont need warranty unless you're in a high labor state. Also it's better to measure the appliance life span if it's getting to the end for most appliances, buy warranty.