When I close up my rig for the week, here is what I do:
1: Awning up (it has been up since the PDI, so that's not an issue, usually.) Texas can get pretty high gusts pretty quickly in the winter, so I don't want to risk it.
2: Water pump off, water disconnected (if connected), water heater off, and lines depressurized. This way, if there is a leak, it happens where I'm there.
3: The usual check (bedroom sliding door open, all lights out, vent fan off, vent cover closed, radio off, stove off, windows shut.)
4: Refrigerator emptied out and airing cards placed in so it gets air circulation.
5: Cables stowed, double check on windows, power inlets and water inlets, as well as doors and access panels locked.
6: Battery disconnected. Propane tanks turned off at the valves.
If I have access to any electrical, I leave the batteries and propane connected, hook up an 8 amp Battery Minder to the bank, set the furnace to 40, and call it done. If I don't, I blow out the lines and pour some type of safe antifreeze (cheap vodka or RV antifreeze, whatever costs less) down traps/drains.