Yes, my word how ugly your neighbours forcing us. You have a lively little bit if brick walll. So I do see how you’d like to keep that on display
I often dream of oleached trees like this in our garden - but it’s a dream due to cost.
Have you thought about trellis above your brick wall and then some climbers such as rises, wisteria, clematis - or such like?
You can leave your existing planting alone, don’t lose light and the cost is much, much less. No risk of the trees dying nor specialist maintenance