Some variation by area.
For Auckland Central:
Additional food waste bin is free; "If your food scraps bin is frequently over-full you can request an additional bin at no cost" - assume you do this via the contact form as there does not seem to a place for it on the bin exchange form.
Recycling bins are available in 120L, 240L and 360L size, all with the same annual cost. A one off $40 fee applies each time you request the size be changed. If you want an additional bin it will cost ~$120 per year on the rates bill.
Rubbish bins are available in 80L, 120L (standard) and 240L, with differing annual cost. One off $40 fee applies each time you request a bin size change. Decreasing from 120L to 80L saves (based on the reverse of the upgrade cost) ~$33 / year. upgrading from 120L to 240L costs ~$130 per year more.
If you rent, changes which impact annual cost require landlord approval, but if not, like changing the recycling bin size you can just pay the $40.
https://www.aucklandcouncil.govt.nz/rubbish-recycling/bin-requests/rubbish-recycling-bin-information/Pages/rubbish-recycling-bin-options-charges-auckland-central.aspx#:~:text=a%20different%20size.-,Food%20scraps%20bin%20charges,Read%20fee%20table.&text=$13.08-,%E2%80%8BFor%20bin%20requests%2C%20visit%20Rubbish%2C%20recycling,and%20food%20scraps%20bin%20information.
Online for to request a different size bin
https://www.aucklandcouncil.govt.nz/rubbish-recycling/bin-re…
Discussion from 3 years back (before food waste bins and the $40 bin change admin fee was added):
https://www.cheapies.nz/node/34618
Have been running a 360L recycling bin since then. Physically massive to store, but comes in handy.
Even with the $40 one off fee, I still consider the recycling bin upgrade a great deal. Rubbish bin downgrade could be worth it for small households that are not planning to move over the next couple of years, Upgrade is great value compared to skips etc. and of course the additional food scraps bin is free, and everybody loves free (unless of course you don't fill your current food scraps bin up).
![[AKL] Free Additional Food Scraps Bin, Upgrade Recycling Bin from 240 to 360L for $40 @ Auckland Council](https://files.cheapies.nz/n/19/52619.jpg?h=d8eb41c8)

May have to upsize the rubbish bin when they change it to fortnightly collection soon.