It's easier to change your mind about ivy than to remove it.
Great habitat and nectar source for wildlife.
Biomass accumulation. I chop and drop, it's fine as surface mulch.
Often dominates a
fence line and supports old rotten fences. If you remove the ivy the
fence will collapse. Just cloud prune the ivy to the fence to form a living barrier, prunings as mulch.
Ivy wont kill a tree. It will dominate a weak tree. Agree just cut at base once a year.
Do remove it from buildings unless building is old when prob best left to keep building intact like the fence. It protects the fence/ wall.