East-southeast facing garden - how much sun would we get?

[TurnUpStuffer]

We are looking at a house. In the aerial view (with north at the top), it is the one in the middle with three cars in front. It has a 90 foot long rear garden that is quite wide, at least by London standards. But it does have a lot of trees. There is a large magnolia to the front, with a "public" tree (type unknown) between the pavement and the road. How much sun and when during the day can we likely expect (back and front)? Should we be thinking about pruning or removing any trees for better evening sun at the bottom of the garden? Thank you.

In the summer months, you will get sun at the patio end of the back garden all morning, and sun at the bottom of the garden in the afternoon & evening. Less so in the winter, when the sun is lower in the sky, but then there won't be any leaves on the trees to cast shade anyway. It is a nice aspect actually.

sun at the bottom of the garden in the afternoon & evening.
There is a good gap between OP's house and No38, you will get late-afternoon / evening sun shining through there, too.
There's a reason why the table / chairs / parasol are placed there!

A mix of sun and shade is good.

The magnolia in the front won’t cause problems as it’s to the N. Pruning/removing trees at the end won’t help in the evening as sun will be coming from over the house. Trees on the S boundary will give welcome shade in the heat of the day. On hot days we head outside for lunch, not to the table and umbrella on our S facing terrace, but to the cool of the seats set among the trees at the end of the garden.

The parts of the lawn which get some shade look less parched than the very sunny bit.
I might consider replacing some of the conifers by something I liked better, but they may be screening the garden from the houses behind

Thank you all for your kind help. A good range of interesting and useful ideas.