Figure on about $25 or so if you pack it yourself. If you take it somewhere to get it packed and shipped, it can get expensive.
My one and only concern is that of careful packing. At least one inch of packing/ padding on all six sides - more is always better. Special attention needs to be paid to the front and the front corners of the unit - this is where the majority of damage occurs if not packed properly. Also, be sure to shake the box and make sure there is NO movement. If there is, add more packing/ padding.