I promise you, you will regret the fabric. I know no one who has used this who is not sorry. I did exactly what you are planning 20 years ago.
Out of frustration, I wasted all the money you are about to waste, on fabric and mulch, and put in several weekends of hard work, it did not work for long, and it was so disappointing to see that weed after all that work.
I finally killed the ivy completely. Do not pull it, it only spreads it. Read about runner roots. Never pull them.
For what I am recommending I must say, please never spray roundup near your face. Pour don't spray for something this intensive.
moving on.
Twice a week or so, look for vines. Let it get some length (the more leaves to drench, the better job the round up does) As you let the vine get longer, keep it off soil. If your vines are long now, cut to 4 feet approx.
When long enough:
Put on rubber gloves. Have round up poured into something you can pour from with no spillage, and reseal, for next time, (Vodka bottle for me
)and have baggies for whatever size your vine winds up well for:
Now, as if this is the most rare and expensive plant you have ever handled, GENTLY wind the vine like a hose, no bends, or breaks, and place in a baggy. Pour in roundup, just enough, it works without over kill. Seal as best you can, and leave to bake. I lay it on sidewalk when possible, for the heat. Remove the mushy mess in a few days. I got pretty good at hiding these from plain view, with rocks, or behind plants. It is simple, but I promise you this works.
I hope I have talked you out of this fabric. It is my single biggest gardening regret. Just try this for one year first. Save time and much money and years of regret from my mistake, not your own.
Laurie B