I was joking about cutting down trees and bushes. I love the bird noise, even at 5am. You get used to it and sleep through. Case in point, in the late 70's I lived in a cottage on a farm in north east England. About 100m out behind the cottage was a railway and 2am every night the coal train would come through on it's way to Tyne Dock. The cottage would shake and rattle with the low frequency rumble of the coal wagons. First week or two I'd wake and then I got used to it. Then one not I woke at 2am. There was no noise, no rumbling and shaking. I pulled my woollies on and went outside to see workmen doing track maintenance and so that night there was no coal train.
You'll get used to the birds.