Your best solution would be to buy a used analog IRD to move the dish and control the polarity.
Re the wire, any wire, such as telephone wire, etc, will work for the polarity, and
actuator pulse, however you will need heavy grade wire to supply power to the actuator to move the dish. The guage required would depend on how long the run is, but generally a guage heavier than lamp cord, however heavy duty extension cord wire should work. If the guage is too small, there will be excessive voltage drop, and the dish will move very slowly, or won't have enough power to move.