How can I get rid of poison ivy and poison oak?

They sell a spray especially formulated to kill this.

Cut at the root and apply herbicide. Once it has withered, you can remove the vines more easily but they can still produce a rash so continue to wear protective clothing.

How much do you have? This is for a small amount, not a field of it:

Since I can’t yank it out (allergic) I would mix up a small batch of herbicide in a clean used plastic cup or “tin” can.

I’d apply it with dollar store kids’ long handled small paint brushes to the middle of where the 3 leaves meet and leave a big droplet there. If you can paint the leaves a bit then great, but I keep my time near it very short.

Of course wear long disposable dishwashing gloves, long sleeve shirt, long pants and tie the hair back.

Throw away the gloves when done, taking care not to touch the outside of the gloves.

If you brushed against the plants with your clothes they will need to be washed twice with lots of soap & lots of borax. I would wash mine in a commercial washing machine, because they get hotter water.

If you are looking for something natural, try this

https://countrylivinginacariboovalley.com/homemade-poison-ivy-and-weed-killer-that-really-works/

Dissolve one cup salt in a gallon of water and add a tablespoon of dish soap to create a solution that can be sprayed on poison ivy.

Here's a post that might help - https://chascrazycreations.com/home-made-weed-killers/

Hi Cal, hope this helps you. Try cutting the vine about 6" above where it comes out of the ground. Put some full strength white vinegar on both of the cut ends by dipping them into a cup full of white vinegar. Do this all along the length of the vines. Repeat if necessary.