I made this kit. Yep, Mike is right, its the addition of the oak and the nutrient (and at the same time) that made mine balloon.
To start fermentation, use the brew belt. During active fermentation, you should probably unplug it, because it will get pretty warm all by itself. Mine was at 78 in a 65 degree room without the belt. When things slow down you may or may not need the belt; I did need it.
Mike's advice about when to transfer to glass is what I did and it worked great. Some don't transfer to glass until fermentation is finished. Personally, I wish I had left it on the raisins a little longer and I will next time.
The main thing here is to not put in the nutrient and oak, then immediately transfer to glass. In the glass it will go off like a rocket if you do. Its important to put the oak and yeast nutrient in the bucket and make sure it has settled down before ANY transfer to glass.
Transferring the oak to glass was a pain. Next time I will put my oak in a small bag in the bucket and use a Better Bottle for that next stage. My Better Bottle's opening is twice the size of the glass carboy's opening. That's the only time I use a Better Bottle.
Following these instructions, I did mine in a 7.9 gallon bucket. It got close to the top, but didn't go over. Be sure to stir when the directions say to stir. Seems like the act of stirring would settle things down some.