We are just about done our 8x6 house and will be starting on our 10x14x 5' high run. This is what I had in mind as far as fencing goes: 2x4 fencing all around but then 1x2 at the bottom buried 12'' and then above ground for 2 feet. Will this be secure enough? I know that 2x4 is a little large but with the smaller fencing at the bottom I was hoping this would be ok. Coop will be covered at the top. thanks-I have read all of the predator horror stories and just want to do this right! thanks!