I was in Jersey in November with my mum, we stayed in a hotel but they have a motor home so we looked for camp sites for them for the future. There were only 4 (I seem to remember), but Jersey is very small and easy to get around by car and would be relatively easy by bike (although its quite hilly) - lots of 'green lanes' where bikes, pedestrians and horses have priority over motor vehicles.
It's a great place to visit, so enjoy your holiday.