If your light dim briefly at amp turn on, that's pretty normal. If your lights are dimming when using the amp your circuit is borderline overdrawn. You need to look at how extensive the line is, what other components are on it etc. A dedicated line could be helpful, a new power cord not so much. One way or another you need to lessen the overall load on the circuit. It is possible too, the outlets in the circuit are inferior and not send the "signal" very effectively. It is very much worth upgrading plugs in any circuit just to make for more robust connection etc.