The problem with plastic is that it's bluky, and unless you separate by type, it's hard to reuse effectively.
Many pastic containers have the type of plastic somewher on them, but often it's hard to find, and of course no machine can read it.
Like others here, I could easily be persuaded that current attempts to recyclde do more harm than good.
The only solution I can think of is standardisation on containers. As MadamePlatypus says, milkmen have the right idea.
Although milk bottles are made by several manufcaturers, and bought by different dairies, they are interchangeable, and there is only one type that I know of.
Also, as I understand it the sizes of soap powder boxes are also standard.
I see no good reason why you can't have a set of bottles/jars of various sizes. If you used water soluble pigments the manufacturers could put attactive labels on theem.
Would not only make recycling a lot more effective, but also would knock a bit off their costs, through economies of scale.
Tins are trickier.
As for the whining over extra bins, you have to allow for the inherent incompetence of local authorities.
Bins are great for the fully able, rather horrid if you're not, especially if you have steps etc.
Also councils are congenitally incapable of negotiating contracts with supplier like waste collectors. Thus they often refuse to collect anything that is not *exactly" where they think it should be.
But the most common problem is that to save money, they have cut the number of collections.
In summer, there is a big problem with flies etc because they can't be bothered to collect them weekly.
And of course it being a council contract, the contractors often "forget" bins, making for a month gap, and the smell contravenes UN treaties on chemical and biological warfare.