Don't know about your council, but ours had the large green plastic compost bins on offer, too (much cheaper than through normal trade, and at least they are made from recycled plastic). They provide the necessary critical mass for compost making. So if you want something that looks more "civilised"
than pallets, or you can't get pallets, it might be worth having another look out for that. I opted for the green daleks because it all needs council's approval in a council house... (They can't have anything against what they themselves sell! Where I lived before I had a pallet construction - perfect.)
What I do is fill one bin over the year, and in spring empty it into my newest raised bed. This will provide growing space for anything that can deal with fresh compost, i.e. courgettes, pumpkins etc. The year after it'll be fine for onions and other stuff... I then start filling the now empty bin and leave the other in peace to break down. Usually I leave the top off for more air and some moisture, but put the lid on in periods of heavy rain.
I now have two large green bins on the go, plus an old black one (I agree, they are useless) for anything that I don't want to use too soon - weeds and other stuff that'll take longer to break down into harmless matter... And daggings really are fantastic in the garden - I have them mixed into the compost as well as mulch for fruit trees and bushes!