The answer is "it depends". Two places I routinely fly at have modern high power electrical lines nearby. At one location they go directly overhead the launch area. I have not experienced any issues at all in those locations.
At another location, I launched from a parking lot and went to fly up to a nearby ridge, at one point my F550 went into complete hysterics, at one point it almost did a flip (in GPS mode), I threw it into ATTI mode, got some semblance of control and brought it back. I then pulled out a Phantom 2 Vision+ and at the same location the P2V+ did a crazy hard left bank and then started spinning, again, I threw it into ATTI and was able to get control and bring it back. Right where they both freaked out was over a small valley area, at the bottom of that valley (about 40' below my launch altitude) was a set of old power lines feeding a few houses. The copters were around 100' above the power lines but both experienced wild problems that almost lost them.
Will the lines by your house affect yours? Hard to say, but there is certainly a risk when flying near them. It would be best to just go to a park or other location without power lines that might cause a failure.