Having RTFT, I've decided (not for the first time) that our council is crap when it comes to waste/recycling.
We cannot recycle most plastics: yogurt pots, food trays, the pots that fresh soup etc comes in, plastic bags, butter tubs or tetrapacks. The only metal that they will take is tin foil and cans, and they have to be clean (a tiny bit of bean juice will lead to tins being put back in the box. The bag for cardboard is quite small, so any larger packaging that can't be made small enough to fit in has to be taken to the tip.
I gave up using the food waste caddy because it's so hard to open (arthritic hands), but we get very little food waste because we compost, the dog eats any leftovers and we don't buy more than we need. You have to pay to have garden waste collected and there are constant complaints because the company that does it is really unreliable and fails to turn up around 50% of the time.
And they don't provide any bins apart from the recycling bags/boxes - if you want a bin you have to buy one.
For all this excellence, the council tax here is among the top 10 highest in the country. There are only 2 of us, and despite our crappy recycling scheme, we only put 2 small bin liners (waste paper bin size) in the rubbish each week.
The thing that made the biggest difference to our waste was composting. I empty the hoover into the compost, after being told that nearly all of the stuff in there is hair and skin and they're both compostable, I empty out tea bags and compost the leaves, any uncooked veg/fruit and peelings goes in there, and we save the tubes from toilet and kitchen rolls and rip them up and compost them (a good layer of brown cardboard stops the grass cuttings from going slimy as they rot). We also put small prunings in there, the big stuff goes to the tip.
We had a rat problem in the compost, but sorted it by putting a sheet of steel mesh (approx 1" mesh) under the bin to stop the buggers from getting in. My compost is fantastic - DMIL is a very keen gardener and we take her a couple of rubble sacks filled with compost a year and she reckons it's the best thing she's ever put on her garden. She says her pinks and agapanthus have never been so nice as when she started using my compost for the pots they're in!
One of my colleagues didn't recycle egg cartons, because she didn't realise they were cardboard. She thought all cardboard came in flat sheets!