If by conifers you mean Lleylandi then just lop them. You won’t kill them. Where you need to watch is if you cut them back from the side. If you go past the green then they might not grow back.
In inherited a Lleylandi hedge down one side of my garden. Only 8 feet high but on the sunny side of the garden so blocking a lot of light. Also extending 4 or 5 feet into a not too big garden.
The best thing I’ve done to my garden was digging that hedge out and replacing it with wooden fencing.
As for technique. I found loppers and a handsaw from the top of a ladder were fine. No need for power tools.
If you are ever removing them don’t cut the trunks below about 6 feet until the roots are out. The leverage helps when rocking them to get at the roots.
If I was planting a hedge from scratch I’d agree with Beech. Not too fast growing. Can be kept narrow if you wish. Can be cut back hard and re-grows. Nicer to look at.