Buckthorn is the worst.
I spray it with Glyphosate on the leaves, will kill if strong enough.
Otherwise, cut it and I put Tordon RTU on the stump. Blue stuff so I can see it’s been treated. You can scrape the bark and spray Tordon on it, usually kills it.
Getting rid of the brush is impossible, especially the big ones.
Makes a mess but eventually degrades. A chipper would be nice but not really an option for me.
It’s a constant battle and I never get ahead of it. The neighbors is full of it and the birds spread the berries like wildfire.
I will say the deer do like it mainly because it’s so think and prickly, humans won’t walk through it or can’t.