Posted: 29/06/2015 at 11:17
I agree, privet has not got a lot of charm and is the first I'd get rid of.
Hazel has a useful characteristic: for centuries it has been "coppiced" to create hedges and provide sticks. If you cut it right back, it will grow back with a number of new, thinner stems. It is also used in traditional hedge-laying because of this. Yours may already have had this done before, judging from the photo. Whether you want it to carry on as a shrubby, hedgy sort of plant is up to you and may depend on the space available. You may get nuts from it in the autumn (but squirrels may get there first) and in the spring it has catkins.