Think of it this way, the bird you see perched precariously on a limb isn't placing his faith in the limb, his faith is in his own ability to fly.
Learn to change a tube, it's really very easy. Carry a couple spares and a pump with you. Then you can focus on the fun stuff, like flying.
Also, if you go too far trying to find bullet-proof tires and tubes, ride quality suffers.
Enjoy the ride! 🙂