We use the old-fashioned snap trap. Shankmac, good idea! I don't know that owls will take a non-moving target, but carrion feeders will.
Kat, nothing wrong with releasing them outside if you are soft-hearted. The cities (and countryside) are full of them; you are not adding to the problem as someone suggested in a prior post. If the population gets too large, disease cuts them back.
Cats are confined to the householders property and are not permitted to roam in our city (pick-up and a fine to the owner if reported to the city or seen by the dog-cat patrol).