I am re-wiring an old house. It is a small 2 bedroom, 1 bath house. We put in a 200 amp service and need to run a service entrance cable about 20 -25 ft to the inside breaker panel. My question is how big of a gauge wire should we run for the service entance cable. #? 3 conductor with ground in copper. We have 18 -110v outlets, 3 - 220V outlets (Window AC, Kitchen Stove and clothes dryer), 3 ceiling fans with lights, Electric bathroom heater in ceiling. Etc.