If it turns out to be poison ivy or poison oak, you need to be very careful removing it. Be sure to wear gloves and goggles. A face/dust mask wouldn't be a bad idea either. Carefully cut it out and place all pieces in a double trash bag or mulch bag. Carefully seal and dispose of. DO NOT BURN IT !
If you're not opposed to using chemicals, another method would be to get Bayer Advanced Brush Killer for Poison Ivy (Says it right on the front label). Pour some into a buck, cut the vine and stick both cut ends into the bucket. The vine will suck it up and die within several days.
Regardless of how you remove it, once you're done, get rid of the gloves, goggles and mask. Wash exposed skin thoroughly with soapy water and dry with disposable towels.
If you're lucky, you may have little or no reaction if you come in contact with it. I grew up with a guy that, if exposed, would have severe reactions and be totally miserable for days.