Two options for you:
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NEOS (New England over shoes). Think of them as waterproof socks over your normal shoes / boots. I’ve worn mine over my leather moccasins house slippers. I’ve had my pair for over a decade in a cold / wet / northern climate and they’re beat up but still waterproof
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XTRATUF rubber boots. Particularly if it’s not super cold. I have a pair that go to my knees for working in the mud and muck, but I used them while snow blowing last year and they were dry, grippy and warm