To make a Housing Benefit claim in London, you should first check your eligibility based on your income, savings, and circumstances. You can apply online through your local council's website or request a paper application form. It's important to gather all required documents, such as proof of identity and tenancy details, before submitting your claim. Once submitted, the council will assess your application and inform you of the outcome. For more detailed information, visit your local council's page on housing benefits or the official gov.uk website.