If you have no health and safety or ethical concerns with mole trapping, then a mole catcher is one option. If you find someone through either of the following membership bodies, this will ensure that the catcher has some form of accreditation.
The Guild of British Molecatchers is a good starting point, particularly if there are any concerns over the humaneness of the process. The Guild are the most humane of the bodies (essentially this means their members guarantee to check traps daily).
An alternative would be to use The British Mole Catchers Register which has a code of conduct for all members but not as stringent as that of the Guild.