Ivy, poison or not, is difficult to kill.
You want to minimize your "pulling time":
Go out and clip the plant at the root ... and then walk away for about a week. This will allow the plant to begin to shrivel and die, and when you go out to pull the vines, they'll be weak and will part easily from the trees, etc. to which they are currently attached.
Have trash bags or trash cans ready and waiting BEFORE you start touching the vines.
Cover your skin, even the skin under the clothing, with a thick layer of lotion. You can get IvyGuard, but that's expensive, and all you really need is a layer of something as an extra layer of protection for your skin.
Wear long pants, long-sleeved shirt, and gloves.
And eye protection. Take especial care not to touch your face and eyes as you work.
Have your washing machine standing empty so that when you come into the house you can immediately shed your clothing -- don't let it sit in a basket or on your bed.
Go straight to the shower and scrub yourself head to toe.
Scrub your hands first, then your face ... then move on to the rest of your body.
Once all that is done, you still have to deal with the roots. Watch for them to pop up with new leaves, and spray them with Round Up (or similar). Most of those products work by preventing the plant from photosynthesis (eating), so the plant will die; but that means you can't use the sprays on roots -- only on leaves. You'll need to keep spraying them ... probably all summer, but if you work hard at it now, the problem will be gone. If you use halfway measures, you'll still be dealing with it next year ... and the next ... and the next.
And none of this is as bad as dealing with a child who has poison ivy all over himself, especially if it's in his eyes.
