How to get rid of glare?

I have a lamp that I use to light my shots. It has 4 bulbs on it that are able to move/flex in any direction. The trouble is, I have to bring these bulbs REALLY close to my camera to get decent exposure. This creates a lot of nasty glare from the bulbs on the item I'm shooting. It might look fine one second, but if I tilt or turn the item, tons of glare pops in.

Example:

Any idea how I can fix this?

Thank you for reading.