If your electic heat system uses forced air, you can distribute heat from your stove using the furnace fan. Otherwise, consider something like an exhaust fan above the wood stove that blows into a metal box (plenum). The plenum can have your ducts attached to distribute to each room via the attic / ceiling. The fan can be controlled by a thermostat that turns on when the temperature reaches a pre-determined point, (say 80 degrees). Using a single fan is an easier installation (just one electrical control point) and airflow can be controlled by register dampers at each outlet.
Harold has a good point, but I tend to think that your risks of fire-spread are not any greater than with any centralized heat distribution system. You are taking moderately heated air and circulating it.
If the heating bills are concerning you, it doesn't sound like you would have trouble getting a natrual or propane gas forced air system installed. That would not cost a great deal more than buying a new wood pellet stove, and is a much more comfortable source of heat that would add value to your new home.