Trees to give us privacy

[ThatIsNachoCheese]

This is my first gardening post, I would appreciate any advice.
We have recently bought our first house which is a new build so the garden is a blank canvas. We have put in some lovely plants in the border but our neighbour has now raised his garden so we are massively and intrusively overlooked.
We need to try and screen as much as possible so would like some trees by our back fence.
They need to not grow to more than 5 metres and they can't be bushy as the garden isn't big enough.
We have chosen a prunus royal burgundy as tree number 1 but we need 3...
Can anyone recommend a tree that might work for us?

We have exactly the same issue. We have planted pleach beech trees. The picture is not our garden but shows the effect. You can plant under the trees so it doesn't impact too much on your actual garden space but it gives privacy from the NDN when they are in their garden.

They look great, we have a retaining wall under our fence, so our fence is actually 2.5 metres high! I am guessing this means pleached won't work as it won't be high enough.
Neighbour has really ruined my garden for me, they were high up anyway but now they are right over us.

Most pleached trees have a stem of 1.5 metres so as it stands might not be tall enough. I have a hedge at the front of mine and wanted pleached trees to sit above it.
I couldn't afford the 1.5 metre high ones, plus there is a difference in height between our garden and the hedge. so I built a raised bed and bought red robin photinas and planted them in planters to lift them up higher again. (photo attached)

So suggestions would be:
Stunning large planters with the trees in to get more height above the 1.5 metre stem.
Create a raised bed using the wall and plant them in there.

Look for something that is evergreen like like laurel or photinias (www.seagravenurseries.co.uk/home/trellis-pleached-and-arched/pleached-evergreens-laurel-photinia-etc.)

Another possibility, You cant make the wall/fence higher without planning permission, but you could build a pergular higher. If it was higher on the side in your garden than the wall and the roof went up at an angle you might not need planning permission, from that you could grow something up it and create privacy/shade.
Please excuse my very rubbish drawing. Purple is your current wall/fence and in blue is the pergola. You could train something up the wall, across the pergola roof and essentially add another metre height.

Thank you so much, the raised planters are a great idea! I will definitely look into that, yours look really lovely.
I love the pergola idea but we have already planted a lot of plants there (before he raised the level).
We are growing climbers up there so I wonder if there is a way to grow them higher without actually putting in a trellis.
Thanks for all your help, it's giving me some brilliant ideas

Cedrus libani, Sequoiadendron giganteum and Populus nigra var. Italica.