I thought about cable ties. but they'd be too easy for our squirrels to chew through; I'd have had to use the metal clips.
For the roof & the stretch behind the greenhouse, where I could only access one side of the fencing, I used the thinner wire that was wrapped around the wire mesh when it arrived, as it's thinner than the stuff that my local shop had. (Hope it doesn't rust...) Because the other "stitching wire" is thicker than I'd have liked, it's difficult to bend backwards and forwards through the chicken wire (13mm holes, to keep rats & squirrels out, I hope), though easier with a person each side, passing it back & forth.
I'll be interested to see Chris' photos; do you have squirrel problems where you are now, Chris?