I live in CT too, and have to deal with raccoons, foxes, bobcat, coyotes, bears and hawks to name a few. I built my run with 4x4 posts, and on the outside, I attached 2"x4" field fencing. This keeps the large predators at bay (maybe not the bears, if they want in your coop (or your house for that matter), you are going to be hard pressed to stop them!). Then on the inside, I attached 1/2" hardware wire. When you attach the wire, you will want to use screws with washers so an animal or person pushing or pulling on the fence can't work it loose. Staples will come out too easily.
As further protection against predators, the coop and run are fenced in by electric fencing 48" high. Solar chargers don't pack the same punch as AC chargers, so I have mine plugged into AC, and it puts out 8000 volts. I have seen a bear touch the fence with his nose, and he went running when he got zapped. But I have also heard stories of certain animals like foxes and bobcat jumping the fence, so don't assume any setup is 100% secure.