before using any set's you here about make sure they are legal in your area. generally you wouls use a #1 or #1.5 coil spring or long spring trap for foxes raccoons fisher mink muskrat. #2 cs or ls for foxes coyotes badger bobcat otter.
and for beaver i would use a #3 or #4. but the easiest is a 330 conibear or similar brand.