There are a few options that can be considered here.
First, how secure do you want your birds to be? Are you emotionally prepared for a few losses or are you one that can't even begin to imagine the loss of a bird to predation? This is going to have to play into your plans as the latter is much more in need of taking the "Ft Knox" approach than the former who could easily get away with free ranging, open air run, etc. Neither is right or wrong, just a different mindset.
You can be pretty secure without wrapping everything in hardware cloth (despite some of what you might read/hear). Poultry netting itself, though, provides no protection whatsoever from even the least of the predators likely to come for your birds - it is intended to keep poultry in or out of an area, not to keep any other animal in or out of that same area. You can, though, use poultry netting *with* some other items to both confine your birds and keep the risk of predation reasonably minimized. Some options are poultry netting over heavier gauge wire such as field fencing, livestock panels, etc -- the heavier wire will withstand more than the poultry netting, but the larger openings leave the risk of different predators being able to get through. You can add some electric fencing - a strand a few inches off the ground around the perimeter will be something most ground predators will encounter with their nose due to the way they tend to approach an enclosure and the shock will send them on their way -- a strand higher up can help dissuade climbers. You can do hardware cloth just around the base of the enclosure (over poultry netting, field fence, etc) - going just 2-3 feet up will afford your birds considerable protection in the part of the run most likely to be targeted for entry. Likewise, a skirt of heavier wire, pavers, etc that runs a foot or two out around the edge of the run will provide protection against those that might dig into the run.
I have a cattle panel hoop style run with poultry netting over the panels with electric wire. My run is not predator "proof" and I am aware of that - but it has worked for us so far and I am fully aware that I am accepting the risk that something *could* overcome those barriers and get at the birds - I have accepted that risk.