When we bought our house, English ivy had grown into the HVAC units, up multiple trees, up the entire side of the house and into the attic. I had very limited success with herbicide. Glyphosate didn't touch it. The best bet is to manually remove it. For the trees, cut a band of the ivy away around the trunk maybe a foot or two so you can new growth, and let everything else up in the tree wither and die.
I didn't know about this chemical when I was removing the ivy but I would look at giving Crossbow (2,4-D and Triclopyr) a try.