Lay the bubble wrapped mug on a strip of cling wrap. Pull both sides of the cling up to the middle and it will stick to itself. Turn the package the other way and wrap the cling again. This makes a very professional looking package and requires no tape. Your buyers will love this ease of unwrapping.
Tape is difficult to put on and even more difficult to remove it without damaging it's contents.
Tape the inside of the box securely. Shifting or stress can cause the package to open from the bottom. Styrofoam or rolled up plastic grocery bags work well also. Gently pull the sides of the packaging in from the box to allow the peanuts to fill all the spaces. Rolled up plastic bags are excellent for cushioning the box corners.