I think I would walk as far as one of my kid's houses and ask to stay - after all, I put them up long enough and paid for all that fancy education. I would probably go to my daughter rather than my son, Cornwall is closer then New Zealand.
Being genuinely homeless doesn't bear thinking about. I hope I would approach it rationally and allocate resources and effort accordingly. Shelter first, then warmth, then food. Water would not be a issue in this weather.