Word of warning regarding housing chickens inside the polytunnel.
The first year I tried it the covering was heavily scratched and torn probably by a fox knowing the were something inside. This year netted to waist height all round.
As for the heat issue I still found that the water was frozen on the odd occassion. Oh make sure that any overwintering items are well secured!
As for the heater, I have a propane one but due to the large volume required to heat it eats the propane even just on low.