Our system is a bit complicated.
Kitchen:
1 small bin for landfill
1 larger dual compartment bin for compostable waste or bits of card, paper envelopes (preferably after re-using as shopping lists), etc.
'Tupperware' box in the fridge full of any scraps the hens will eat.
Understair cupboard:
Box of papers, magazines & junk mail etc. for shredding as pet bedding (then composting)
Garden:
Several large plastic bottles for transporting homebrew sludge and used cooking oil to the plot.
2 large plastic vegetable crates for larger bits of card and soiled/wet newpapers/magazines that will be laid down under grass clippings or stable straw as mulch.
2 small dustbins for collecting waste bags from the kitchen until taken to plot.