Hedging my bets!

I've been trying to help me elderly parents get their garden into shape as it has become really over overgrown.
Sadly they been duped a couple of times by 'companies' saying they'll remove trees and shrubs but always find an excuse to they never do a full job and then don't come back.
My brother and I are therefore going to do as much of it as we can before engaging further professional help.
I'm going to fence most of the boundary but they love birds and want a hedge or shrubby boundary at the back of the garden.
It'll have to give privacy because even though it's a back garden it actually faces onto another street.
Slow growing, probably evergreen and low maintenance is key as their current shrubs are overrun with brambles and I'll be maintaining it but I won't be able to come all of the time.
Phew! sorry for the long message!
It's East facing, clay soil. About 6m long.
What would you plant along the back?
Thanks!
Sadly they been duped a couple of times by 'companies' saying they'll remove trees and shrubs but always find an excuse to they never do a full job and then don't come back.
My brother and I are therefore going to do as much of it as we can before engaging further professional help.
I'm going to fence most of the boundary but they love birds and want a hedge or shrubby boundary at the back of the garden.
It'll have to give privacy because even though it's a back garden it actually faces onto another street.
Slow growing, probably evergreen and low maintenance is key as their current shrubs are overrun with brambles and I'll be maintaining it but I won't be able to come all of the time.
Phew! sorry for the long message!
It's East facing, clay soil. About 6m long.
What would you plant along the back?
Thanks!
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Here's a pic of the garden now if that helps.
Would you try and save anything in it?
I will cut them down and try painting them as you say.
In terms of what's growing that I can identify, theres two laurels, two fir trees of some type, a pieris holding on for dear life, two buried rambling roses, and a viburnum in the corner which you cant really see from the picture.. There's also some sort of deep reddish shrub that I don't know.
If you think it's possible to subdue the brambles without removing everything we will try that.
My brother is dead keen to get a chainsaw. I do worry.
I am still trying to eradicate the roots of the brambles with glysophate but hopefully with a Bit of digging the area will be ready for replanting.
So far I have a crab apple and prunus to go in and lots of spring bulbs.
I'm hoping to leave some areas wild...a bit like a meadow border.
Plan is, we will erect a hedgehog and frog friendly fence along the back for some privacy.
Pictures to follow...