Croydon Council collects green waste from April till November, after which time it considers that nobody needs it - even though most of the leaves aren't down till well after that time. And of course nobody in their right mind does any winter clear-ups or pruning, do they? [h'mm]
We don't pay extra for this collection but I'd willingly pay an annual charge if it meant year-round collection. As it is, we have to take it all to the local recycling centre ourselves - which is fine when we're both fit and well, but DH has a bad back and isn't able to lift heavy stuff and I can only manage moderately heavy sacks.
We have our own green food waste compost bin into which we put vegetable matter and this goes into our main compost bin at the bottom of the garden, along with grass clippings and torn-up egg cartons etc.
Croydon makes excellent 'Croypost', which is free (originally the rule was that it was there for the taking to any resident who brings a bag or two of green waste to the recycling centre, but nobody seems to check any longer).
As to rats....we've seen one burrowing into our compost heap (at the bottom of our fairly large garden). And there are no animal products or cooked foods there. I like to kid myself that it was just the one, but I know that is unlikely to be the case. However, they don't bother us, so we leave them alone!