In a lighting class that I teach, we use mirrored Christmas (tree ornament) balls, as an example of something that is just about impossible to shoot that way we would want.
Essentially, we need to understand that the ball has properties of 'direct reflection', meaning that it acts like a mirror and reflects light sources as glare or hot sports.
Now, with a flat object that has this property, you can 'hide' the lights by placing them outside the 'family of angles', so that from the camera's position, the reflections are not visible.
The trouble comes when your subject is rounded, because that will mean that your family of angles is essentially everywhere except directly behind the subject. This, in turn, means that you can't hide the lights outside the family of angles...which means that the reflection will show up in the shot.
So with that knowledge, your task then becomes trying to work with that reflection and make it look nice/good/less distracting.
There are several methods. One would be to move your lights far away and/or make them smaller, thus your reflection spots are smaller. You can sometimes place the light or object so that the reflection/glare is hidden in the pattern of the object (doesn't really work with a mirrored ball).
Another thing you can try, is to make the light bigger/closer so that the glare spreads out....sometimes to the point of 'filling the family of angles'.
Sometimes it's about altering the size & shape of your light source, so that the reflection just looks better. For example, most product shots of wine bottles are shot will a tall skinny light, so that the reflection is a vertical line, rather than simply a round or square spot.
One key thing to remember, is that we probably don't want to eliminate the glare entirely....because that glare is what tells the viewer what material the object is made of.
As mentioned above, I highly recommend the book 'Light: Science & Magic".