I would use wood staples first to hold it into place but then would add a strip of wood over the edges to create a frame layer sandwiching the screen with the wood on both sides with screws. This will strengthen the hold on the screen and hide the edges of the screen. I have never used screen for any of my cages but if I used it or chicken wire that’s how I would secure it. It will also add a cleaner finish to the enclosure overall. Hope that makes sense…