Go to the Premier website; premier1supplies.com, to get information and order catalogs. Their fencing is great and they have good advice. I have horses and cattle, and use electric tape to reinforce the woven wire fencing for them. There is also electrified poultry fencing that works great...
I wouldn't waste time or money there. You need a very secure coop and run; no openings larger than 1/2" diameter. That means an undiggable foundation and well secured hardware cloth everywhere, ASAP. Electric tape around the perimeter is good, but weasels are pretty small for that to totally...