Perhaps it would be easier if there were a UK wide standard for recycling.
Here in Oxford I have 4 bins...
Small Greed Pod - Kitchen waste for bio-enzyme digestion
Skinny Brown Wheelie - Garden waste (Paid for)
Skinny Blue Wheelie - All clean recycleable waste to include paper, glass, cardboard, plastic, aerosols, tetrapak, metals.
Skinny Green Wheelie - Landfill
I don't use the Green Pod as I have practically no kitchen waste. But as for the rest - it's so damned easy to recycle!
If the whole country followed the same scheme - there'd be far few bins and I suspect a far great volume of recycling.
The greater the volume, the greater the likelihood that the rail network would be used to shift the recycleable materials around the country.