Some more notes about feral cats -
Although all pet cats should be collared, some owners don't want to bother, so it would be good to put a note in all your neighbors mailboxes saying that you're trapping cats and to put collars on their pets in case they're caught. A neighbor did that with us, a kind gesture.
Another thing about trapping: usually you'll have to leave a trap in one place for a while so they get used to it. Our neighbor didn't have a lot of success because they moved it too often.
Also, if a neighbor is feeding the feral cats, first, you should talk to them about the problems that causes. If they don't listen, after you remove the known killers, consider trapping, taking the cats to a humane society that will do free spaying, and release them back into your neighborhood. The feeding of the population makes them breed, and removing cats stimulates them to breed too. Spaying is the best way to stabilize a population that will not go away because of a feeding neighbor.