How big are they, mate?! Don't know why you'd wrap them in netting... the branches aren't falling over, are they? I'd just move them one by one - if they're really huge/heavy, get a buddy to help... and I'd probably do it just before lights out so the neighbors (if they're a concern) don't take much notice... after all, they might be making dinner or something and wouldn't actually see the transfer... That way, the plants can take a rest afterwards!
Good luck!!