Fuzz:
My attitude towards trapping coons is to consider it an immediate, short term solution to a long term problem.
When my daughter started losing birds to coons last summer, I helped them set some traps and they caught two......which were fed to the buzzards. After that, we did "the tighten up" on their hoop coop......and no more losses since.
This is the best option I can give you for the short term trapping solution. Follow this example exactly. Same traps, same layout, same process where multiple traps are set out and baited, but not armed for several days, giving coons a change to get comfortable with them:
Kill any and all coons you catch.
After that, solution is to have a predator proof coop that no coon can breach that protects the birds from all comers at night, when they are most vulnerable. And protect them during the day with an electric fence setup. That is less about protecting from mostly nocturnal coons as it is from dogs, coyotes, foxes, etc. You can make the area protected by electric fence as large as your desire and budget allows. Highly effective.