A spare room for 3 months: Bennett, working in London, between homes

After my landlord selling the building, I'm temporarily without a home. I work as a hospital cleaner in London and I have a steady income, but I can't find a place that will let me in without the first month, a deposit and references that I'm in the middle of replacing. I'm looking for a spare room for 3 months. I can pay $230 a month toward bills, I'm tidy and quiet, and I'd be happy to help with cooking, shopping or yard work. I have no pets, I don't smoke, and I have a landlord and employer references. I understand that inviting a stranger into your home is a big step. I'd be glad to meet in a public place first and to share my work details. I hope life is good to you.