A live trap and .22 LR will do the trick for the ground predators. The aerial ones you'll need a a duck load, a shovel and tight lips. I find eliminating the problem is better than living with it.
A pure layer, I would suggest ISA Browns (that was the name on the label at TSC). I get 6 plus very large eggs a week per chicken. They where very friendly and easy to handle.
We bought a strait run of Sliver Laced Wyandottes, Buff Orpingtons, Golden Comets, Rhode Island Reds and Americanas. This is our second batch of chickens (had some ISA Browns), so we are new. At 16 weeks, we have been able to figure out what breed each chicken is but one. Can anyone tell us what...