I wouldn't want to cut my screens but that reminds me of a company in S. Florida that advertised they would install removeable screens. The screens were mounted in frames as in your windows. If a storm approached, you just remove them and put them in your garage or wherever. Very simple and would in fact keep your birdcage frame intact as the wind wouldn't really have anything to push on.
Be sure to bring everything inside even heavy furniture. Afterall if the winds can roll over a semi-truck I'm sure your furniture could become a missle and a hazard not only to you but your neighbor.
If you notice your neighbor leaving stuff outdoors go over and offer to help them move them indoors as what they leave outside could damage you.
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Les
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