I leave mine alone over the winter months, just removing any dying flowers, leaves or mouldy ones. I also water less often, barely 1x week from when they stop producing flowers. However mine are in a porch, so not in a heated house. If they were then they would need more watering.
It's probably a bit late in the yr to try & propagate from the big leaves. If the leaf is really big & getting in the way then you could just remove it, or cut off some of it, wouldnt harm things I'd have thought. J.