Trapping without exclusion is a subscription, not a solution. A mouse needs a gap the width of a pencil, and the same four or five gaps account for most of the entries we seal on Long Island.
We trap the animals that are already inside and seal the way they came in, in that order — sealing first traps them in the wall. Dryer vents, sill plates, garage door corners and utility penetrations get copper mesh and sealant rather than expanding foam, which rodents chew straight through.
