currently it is possible to copy "send" items to secondary vaults. It would be nice, if we could move them, too. Especially if you are doing bulk operations when splitting an old primary vault into several vaults for specific purposes.
Thanks so much for adding your thoughts here. Our developers are currently looking for ways to make sharing/moving between vaults simpler and more intuitive. I'll mention to them that you're keen on this feature (you're certainly not the only one!)