DWP is the government department that manages all benefits.
Not all benefits. Although the DWP (Department of Works and Pensions) are taking over many more of the means tested benefits and are now the government agency that has been given the power to deal with benefit fraud for the benefits HMRC handle too. The councils already have powerful laws on their side to recover money they are owed and this is why Council Tax is always a "priorty bill" for those with financial problems.
Council Tax Reduction benefit - Used to be Council Tax Benefit many years ago, is a means tested benefit. As I mentioned above, this Public Fund has to applied for directly from the local council. Don't assume the DWP will apply for this benefit for you with the local council, because the claimant has to do this. The same with any changes to your claim that you are required to inform the benefits agencies about, you have to inform all the agencies that give you benefits and that is a condition of your benefit claim.
Housing Benefiit - Public Fund and a means tested benefit towards some of the rent. Used to be dealt with by the local Council but this is one of the means tested benefits replaced by Universal Credit. The DWP deal with Universal Credit. The same with Working Tax Credit benefit - replaced by Universal Credit and different rules to the Tax Credit benefits.
Benefits-HMRC-Child Benefit - Public Fund.
-Presently handle the Tax Credit benefit (Child TC and Working TC) which is a Public Fund. These are two of the benefits being replaced by Universal Credit benefit, which will be handled by the DWP. No new Tax Credit claims, they have to apply for Universal Credit. Exisiting claimants will either - have their claim ended and then some will apply for Universal Credit instead; some will move themselves to Universal Credit.
Councils-Councill Tax Reduction. means tesed benefit.
-Housing Benefit/LHA - means tested Public fund being replaced by Universal Credit that the DWP will deal with. New claimants apply for the Univeral Credit benefit that the DWP now handle.
DWPAll the other benefits.