AirPort Utility launches each time I boot my system. I cannot stop it and cannot delete it from my system.

Open Airport Utility

Click on the AirPort Utility menu at the top of the screen

Click on Preferences

Uncheck all the boxes

Close AirPort Utility

Restart your Mac

If you want to dig a bit deeper to learn why AirPort Utility was opening up automatically, it is because the utility checks for problems or updates with any AirPort routers on the network.

Do you still have an AirPort router on the network? If yes, which model do you have?

So far, all that we have done is tell AirPort Utility not to open automatically if it detects a potential problem on your network. This is the equivalent of placing a piece of black tape over the Check Engine light in your car. You won't see the Check Engine light, but a potential issue still remains, although you might think that the car runs great.

If you want to investigate further, did AirPort Utility open up automatically at both home locations or only one? If it only opened up automatically at one location, was this the home with 2 AirPorts or the home with 3?