Because of its light-weight and size, it is relatively easy to pack and ship a cue stick. The post office and most carriers such as UPS and FedEx have triangular shipping tubes that can accommodate long items like cue sticks.
Simply disassemble a two-piece cue stick and wrap each portion generously with bubble wrap. Tape the two parts together to make a unified unit then insert inside a triangular tube. Fill the sides of the tube with packing materials such as crumpled newspaper or more bubble wrap to keep the the sticks in the center and prevent them from shifting during transit. Close and seal the box with tape and it is good to go.
Alternatively, a length of PVC pipe can be used instead of the triangular box. Cut the plastic tube to size and plug one end with a thick cardboard disc secured with duct tape. Insert the wrapped sticks inside the PVC tube and fill with packaging materials. Seal the opening with another thick cardboard disk and tape to secure. Attach the address and labels in the middle of the tube and take to the post office or shipping company. This is a great packing technique when shipping one-piece cue sticks.
Cardboard rolls used to hold bolts of fabric or carpet can also be used as shipping tubes. Cut them to size and use as you would the PVC tube as described above. You can even have them for free from your neighborhood fabric or carpet store if you ask nicely.