The register
The register lists Career Moves in London as a licensed sponsor on Skilled Worker, an entry that goes back to at least 2026. Rating on the current register: Worker (A rating).
At Companies House the business is Career Moves Limited (company number 10971963), a private limited company incorporated in 2017, 9 years ago. The registered office is at Lynton House, 7-12 Tavistock Square, London, WC1H 9BQ, WC1H 9BQ. Its filed activity puts it in recruitment and employment agencies.
For a candidate this means one less obstacle: Career Moves already has the licence most employers would have to apply for. The rest is the ordinary job of getting the interview.