Ivy is practically impossible to kill. I have been trying to eradicate since I moved into my house 21 years ago. You may have some die-back, but it will come back if you get any roots replanted.

Ivy is definitely a hardy plant. I compare it to poison ivy - it will be on this earth long after we're gone. I've been trying to kill some English Ivy that's creeping underneath my neighbor's fence and then climbing up my lace leaf maple tree. I have to stay vigilant!

As cyn said just try to get as many roots as possible.

There many different species of ivy, and they all behave differently. Can you post a photo?

Yes, I think if you dig up a lot of the roots, it will survive the move. Be sure to keep it watered. I have ivy at the side of my house and try as I might, I cannot get rid of it. I personally think ivy is a scourge but beauty is in the eye of the beholder.

How tall is it? There could be some transplant shock, so I would probably cut back about a third of it and then water well especially for the first couple of weeks to get the roots established.