Text moving / deleting

tldr: Move messages between channels without loss of information, delete multiple messages

I thought I'd propose a concept regarding moving messages between channels. I know this is a frequently requested thing (see Move Messages request), but I am more interested in proposing a method of implementation rather than just the general idea.

Suggestion:
Have the ability to move large groups of messages over to another channel. It would need to be able to keep the original message authors, any reactions to the messages, etc.

Issues + Solutions:
People think their messages have been deleted or lost, so perhaps a message can be left saying "User <user> moved <y> messages to #<channel>'

Implementation:
Can be implemented by providing a button that says 'move text', and when pressed it will display checkbox selections on the message so that they can be selected.
This system would need to be have permissions to avoid being abused:
- None: Can't shift messages.
- Low: Can only shift your own message (useful for simple use)
- High: Can shift any selected messages (useful for admins)

Implications:
If this sort of system was available, then I'd also think that an ability to delete multiple messages would also be possible through the checkbox system. This is also a largely requested feature, so this implementation would enable two largely requested features to be added in tandem with each other.