I'm not a hardcore coyote trapper, but in my experience,most setsonthe edge of a suburban area that will catch a coyote will also likely catch a cat or dog. If the latter aren't a concern, you might adjust your trap pan so that it takes almost the fullweight of a full-grow coyote to trip it, but cats generally wouldn't. Also, if dogs aren;t a concern, you might try a post set baited with coyote or fox urine. That would be less likely to attract cats.