As I said above, waste collection is a tiny fraction of your Council Tax. Most of it goes on social care/housing.
Less than a £1 a week of your Council Tax is used for collecting your bins. So why are you moaning about that and not the other £30 odd quid?
Also as I said, a private company charges around £10 per collection so how is £30-£50 a year in any way greedy?
These pounds add up, oh sorry i don't pay enough council tax or income tax for your liking, you want me to pay more is that it.