Council tax will be based on the banding of your home. It is particularly unfair, especially on the elderley that live in big houses, that your taxation locally is dertmined on the bricks and mortar you live in.
You can of course claim council tax benefit relating to your circumstances.
Clearly raising CT is not a popular move for any Council to make.
But increasingly Council's are getting short changed from the Government - who often oblige local authorities to act out Government policy whilst expecting them to pay for it at the same time.