HOW ABOUT TRYING THIS M8! i'M USUALLY QUITE GOOD AT LETTERS......
Dear Sir/Madam.
We have recently moved into the property next to your home and have noticed that the trees which border your land are actually encroaching quite some way into our property causing a reduction in light, loss of space and leaf drop into the garden which requires quite a bit of effort to keep clear.
As we are new to the area and wish to get off to a good start with all our neighbours, I am writing to you, to ask whether you will take cognisance of this problem and assist us by having the trees pruned back on the border between our two properties?
I know I have the right to do it myself, but in doing so this may destroy the aesthetic look of the trees, which you may be unhappy with, therefore it would be better if you arranged for a proper pruning to keep the border looking smart.
As I say, I wish to get on with all my neighbours and would be obliged if you could sort this matter out without the need for recourse to any other avenues in order to sort out this which is something that does cause us some concerns.
Thankyou for any assistance you can provide in dealing with this matter and I look forward to a long and fruitful association with you, as a neighbouring property.
Yours sincerely
etc.
What do you think m8?