You could try some citrus peels sitting around the plants. Supposedly cats don't like that. We too have 3 cats and luckily my orchids grow in an attached greenhouse where the cats are not allowed. I used to let one out there as he wanted to go so bad. That's until he was knocking over plants and peeing in the dirt floor
But when my plants are in bloom I want them in the house to enjoy. All of my miltoniopsis that have bloomed have cat tooth holes in the leaves. So if you have any with thin grassy leaves beware! Our cats don't seem to bother the phals and dendrobium plants, but when they are racing through the house they have sent many flying
My nobile dendrobium hit the floor 3 times recently and a ring stake on it was what saved it from breaking.
You can get a spray that is to deter cats. But it wears off fast. I take a water spray bottle after the cats with a hard direct stream and that teaches them (ya right) to stay away.
I don't know if there are many ways to keep tham away. I have tried things like oregano oil and basil oil which are very strong. Maybe cinnamon oil would work. Good luck. Maybe move the cat accessories for hurricane season?