Standard deer fencing being seven and a half foot?
Personally, I'd use a mix of both if I had that kind of money to spend.
If I were to make a choice of one or the other, hardware cloth. You have two foot by fifty foot rolls just have 4 rolls to make your eight feet. Use your standard metal posts and ties with a slight overlap and you will come up to around seven and a half foot tall hardware cloth fencing.
If you needed to keep cost down, use the deer fencing and hardware cloth against it two to four feet up. The partition for the garden is where I see your problem. You need to keep the chickens out and I've heard of some mighty jumpers.
Edited by Othylocke - 3/24/12 at 1:38pm