You can apply for council housing through Nuneaton and Bedworth’s Request it service, where “Apply for council housing” is listed as an option. That’s the online starting point shown in the council’s published services.
If you’re asking about making changes to a council home, that’s a different process: Nuneaton and Bedworth says you must request landlord permission in writing before any work begins, by email to customer.services@nuneatonandbedworth.gov.uk or by phone on 02476 376376.