I don’t know of any white bins,
The businesses across the back from me have white wheelie bins (amongst others), I’m assuming for trade recycling of paper/card.
a full burgundy bin (I know, we’re posh in North East Derbyshire)
Congratulations, you’re as posh as Burnley.
We have a full-size – actually, oversized – burgundy bin for general waste, domestic recycling is the old bag-and-box scheme which even Hyndburn abandoned years ago as being stupid, unpopular and unfit for purpose. Though that’s academic anyway as they’ve both been nicked, I just put recycling out in bin bags which the council will accept so long as they’re clear.