Join Date: Aug 2004
Location: Waltham, MA
Bikes: Waterford 1900, Quintana Roo Borrego, Trek 8700zx, Bianchi Pista Concept
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Another option might be to join the warm showers list (a hospitality list for touring cyclists), then try to contact members around London. Offer a fee for the storage, as this may inconvenience the host, as compared to just an overnite stay of a guest. Google: Warm showers list.
Perhaps post your request to London area cycle clubs (I don't know of any, others may, or perhaps Google).
With luck you might also gain some riding partners as well.