I've always changed my own tires. For many years, I never balanced any of them, I didn't have the means to, and I never had any handling issues that I recall. Most all of the wheels had balancing weights on them from a previous shop tire install, and I always left them in place. This leads me to believe that when you balance one, you're balancing mostly the rim, not the tire. To this day, I still leave the weights on then check the balance after the new tire is mounted. It's usually still good. If a change is required, it's usually just a minor one.