The Consumer Rights Act which came into force last year affords far more protection to the consumer than ever before. No longer can a self storage provider apply excess hidden charges or should they damage or lose your goods simply walk away from their responsibility as a 'Bailee' for reward'
See www.citizensadvice.org.uk and the many examples they cite as to how this Act is applicable where the service provider, in this case the self storage provider, has failed to satisfactory fulfil their side of the contract agreement you entered into.