If I read your question correctly, you were more concerned about the impact of electrical fields on your baby's health.
I'm not an expert on this, but I do have a PhD in physics, so I can pass along what I know. For many years, research has been done on this topic. Some, based on research in rats, claim that electric fields can cause problems with the nervous system (which, of course, is driven by electrical pulses) - but the field would have to be very strong, your exposure would have to be extensive, and you'd have to be very close for the effects to be serious.
Is it safe to live in a house that has electricity pylons and wires close by? The answer seems to be yes. The strength of a field varies as the square of distance, and you're usually 100 yards or more away. What about sleeping near an electrical outlet? The electric field there is no worse than that close to a wire that runs behind the wall. The fact that there's an outlet close by is immaterial.
The one thing I would be concerned about is cellphones. The power generated in cellphone batteries can be substantial. You've probably heard it's effect on your radio even when the phone is several feet from it. Just imagine the strength of the electric field going through your brain. Personally, while I don't steer away from using a cellphone, I prefer to use it hands-free or with a headset if I know a call will last some time. Some well-known personalities, such as the British entrepreneur Richard Branson, refuse to use a cellphone without a headset so they don't have to hold the battery so close to their brain. (I wouldn't be surprised at all if, in 50 years' time, people look back at us holding cellphones to our ear, as we now look back at the Curies holding radioactive material in their hands, and think we were crazy.)
So, if I was going to keep anything away from a small child, it would be a cellphone. Other than the danger of sticking fingers in an outlet, which others have mentioned, I wouldn't worry too much about electric fields from an outlet.