Your White Bird of Paradise will not survive NC winters. However, yours can be "tamed" if you want to try to keep it indoors. Any of the many leaf stems, except the newest ones, can be pruned off.
You might start by pruning off the lowest leaf stems that are drooping the most and taking up a lot of horizontal space. Untie or release the string enough so that the taller stems come down and away from the ceiling.
This is a tough plant that will grow pretty fast when given lots of direct light and water. So it responds well to pruning. Even if you take too much off, new leaves will grow in. You could prune to half its current size and it would be fine.
Your 'Lemon-lime' Dracaena is a hybrid that is very prone to brown leaf spots. Allowing the soil to get too dry; using hard water; and over fertilizing will all contribute to this problem. Yours appears to be mostly spot-free, so don't make any radical changes. At some point, you will want to prune it back to keep it from leaning way over.