Unroll the bubble wrap and take a close look at it. You'll notice that there are two sides; one composed of bubbles and the other smooth and bubble-free.
Make sure you layout the bubble wrap with the bubble-side facing down. You want the smooth side directly next to the glass for ease of use. If you try placing the bubble-side next to the glass, you'll notice it sticks to the surface making it more difficult to work with.
To make clean-up of your glassware easier, purchase anti-static wrap as shown in the picture. This will keep unwanted dust, hair and other particles away from delicate surfaces.