R.B.
I've had electrolysis for chin hair. It works, but I would be careful doing your eyebrows, because if you don't like the shape or if they are over-plucked/electrolysized, you will regret it. If you start pulling out every awkward hair, you won't have much left.
I have fairly thick brows, and I just trim the straggly or overly long ones. If one sticks straight out or is grey or too long, just clip it.