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Sorry, but these plants are normally propagated through seeds or division rather than from cuttings.

Since they are so large, you may want to consider pruning them back prior to moving them. Make sure you dig up as much of the roots system as possible and replant them in similar locations and at the same depth as the previous location they were taken from, watering thoroughly. This article will help with preventing transplant shock: https://www.gardeningknowhow.com/plant-problems/environmental/learn-how-to-avoid-and-repair-transplant-shock-in-plants.htm

If it has been cool, this may be stunting them a bit. Also, if the light conditions where they are have changed over the years (trees got bigger, buildings were put up that block light, etc.), they may have too little light.

You can prune out anything that is brown, as this is dead. Since you are seeing new good growth, this means the plant will recover just fine.

The plant will begin to form buds. If you are having problems with getting your bird of paradise to bloom, this article should help: https://www.gardeningknowhow.com/ornamental/flowers/bop/bird-of-paradise-blooms.htm