The register
The register lists Little Explorers Nursery in London, LND 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 Little Explorers Nursery LLP (company number OC379489), a limited liability partnership incorporated in 2012, 14 years ago. Registered office: C/O Chorley Business & Technology Centre, Euxton Lane, Chorley, Lancashire, PR7 6TE, PR7 6TE.
A licence says an organisation may sponsor; it does not say it is hiring today. The way to find out is the same as for any employer: the careers page, the job boards, and a direct approach with a UK-style CV that says early that sponsorship would be needed.