First deliver a bill to your neighbors for the chicken the cat killed... Remember since it's not a wild animal, it's not your job to keep the cat off your property it's their owners job... Since it appears you live in a city, where firearms are not really an option get a live trap, trap cat and deliver to local animal control agency as a feral that is attacking your livestock...
This size should work fine for domestic cats...
http://www.harborfreight.com/32-1-2...ch-h-collapsible-medium-animal-trap-9646.html
Only $16 after printing off a 20% off coupon from this site...
http://www.hfqpdb.com
Or you could spend a few bucks more for the larger size...
http://www.harborfreight.com/37-inc...ch-h-collapsible-large-animal-trap-90218.html