First of all check with your local education authority - they may have a list of tutors. If not, do you have any social clubs for the deaf in your area? You can also check out the websites of The British Deaf Association (BDA), Royal National Institute of Deaf People (RNID), and the Council For Advancement In Communication With Deaf People (CACDP).
There used to be a website with animated people signing in BSL but I don't know if it's still on the go.
As a last resort you could ring your local social services and ask to speak to one of the social workers for the deaf. They may know of someone who would be willing to give private tuition.
Good luck.