The fact that you have "free to you" electricity should have little to do with whether to go with ASICs or GPU mining.  I recommend you read more about both and see which you're more comfortable with.  For myself I don't have time to tinker around with my rigs and it seems like GPU mining requires more time so I go with ASICs.  Also another thing to consider is where is this "free to you" electricity located.  If it's at your home or your office you'll likely decide ASICs will be too load and too hot.

So as I mention before there are several items to consider other than the cost of electricity when it comes to mining.  There are a lot of threads here and in the Alt Coin forum so you can get a feel for what you like.