For households with 5 or more residents, a 240l grey bin can be
requested instead of the 120l one. Additional blue and black bins can
also be requested.

That makes our black bag for general waste and clear recycle bag seem
overly complicated.

New Forest by any chance? If not they follow the same system.
It seems a strange choice for an area that has lot of wildlife and though
parish councils and others
request that bags are not put out the night before that is awkward for
people who are busy leaving for work around dawn. You can tell it has been
collection day by the trail of detritus along the route that has escaped
from damaged bags.

OTOH it is a simple system and I like that both bags get collected on the
same morning , they use two carts running together with a the crew from
one walking ahead and accumulating individual households bags into larger
piles which reduces the number of vehicle stops.
My mothers council collects different types weekly on two consecutive days
with a third stream fortnightly on a third consecutive day. Every flaming
day it seems you have to put something out and for a good part of the week
empty boxes are parading up and down the place in the wind till the
householders get home, Mother has a high proportion of neighbours who teach
at a nearby private school. Ignorant sods who may be good at Maths or
Sports but lack the common sense that if you leave your recycling box
outside the front door all week
and start filling it there then the wind is going to chuck the rubbish all
over the street and your box is going to follow it. Ive given up asking
them not to do it but they are teachers and consider themselves above such
things. now on my visits if their box is wedged under my car or in mothers
gateway I remove it to here 3 Counties away. The missus grows plants in
them to replant elsewhere.

NFDC collections are weekly at the moment, apparently a year or two ago
some funding became available for some authorities to reinstate more
frequent collections, NFDC was still weekly so was allowed to use the funds
to give households glass* collection boxes which are collected monthly.
Its taken a couple of years for many including me to get into the habit of
putting it out but most seem to do so now.

GH