I do not use any type of house if the weather is about 24F or higher … maybe 20F if not windy. Hole hopping is easier, but if I have the spot … I do not move.
I have upgraded my reels to be better in cold weather. Most all lines struggle a bit in the cold, but very manageable. I am not sure I have it down which line does best.
Rods with larger guide holes certainly do much better in preventing any ice crystals from plugging / slowing line movement.
I use a deadstick … well actually just a rod&reel with a bobber with the spinning reel open and the rod on a holder. The line feeds fine when the bobber starts to drop down.