Oh, I TOTALLY agree with your advice about and concern with poison ivy, and I AM allergic to it. And believe me, I've been trying to eradicate it.
When we moved here a couple of years ago, it was late spring, and so I had limited access to the poison ivy growths, mixed with underbrush, otherwise I'd had it all over me. The fellow that lived here for a number of years before us apparently did nothing to control it - MANY vines ran up trees all around our lot (8+ acres) including those in the clump of trees in the chicken pen. And yes I have a double concern in that area with me having a reaction to p.i. oil that might be on their feathers, and with them pecking at it.
Now as mentioned before, I'm an old biology teacher, and can easily identify p.i. and distinguish it from Virginia Creeper, Carolina Trumpet Vine and Blackberry. But, I never had to go looking for it as I have here. So I probably missed the fact of just how huge p.i. growths can become, and how thick the vines become, if allowed to grow freely. Some vines here were almost 2" thick, and ran to the top of medium sized trees! Plus, it's all over trees in both of our neighbor's yards.
In both winters we have been here, I've cut through more vines than I can count. And during both growing seasons I've sprayed many, many small vines that have popped up with herbicides that are said to kill it. (I'm very reluctant to use herbicides, even in my garden, since they have a broad-spectrum of plants they can stunt or kill, and will remain around longer than the manufacturers lead you to believe.) However, if you have experience trying to eradicate p.i. from an environment in which it is firmly established - you know it takes years! Especially if you don't want to douse almost every area with herbicides. (Not to put you back into the classroom, but p.i. reproduces via both vegetative propagation, and by sprouting from seeds. Ok, enough showing off my formal scientific training.

) And I have to admit, because of other self-appointed duties, and some extended periods of rain we've had both summers, I've not been as diligent as I had hoped to be.
So again, thanks for your advice and concerns. But, I hope to eventually be poison ivy-free. (Sounds almost like I have an addition or something, huh?)