First, if you have pets they need to be kept inside while you do what ever you decide.
I also would use a trap, snare or even a live trap. A can of dog,cat food or tuna would work. Predator calls work great if you want a shoot at it. Your chicken house is on the fox's daily rout, so it shouldn't be to hard.
If you decide to use a trap give me PM and I'll help ya out.