Seeking advice: How to shuffle only the cards in players' hands?

I'm looking to implement a specific effect involving playing cards: Every player takes the cards from their hands and puts them in a pile. These cards all get shuffled together - and not the ones in the deck. Each player takes back the amount of cards they had originally, but now randomized. The players aren't supposed to see one-another's cards in this particular situation, mind you Is there any way to implement this?

Maybe an API script (pro subscription feature) could do that but normally it is not possible, that I know of.

Pat is right. The only way you'd be able to do something like this is with a Pro-level API script. And the script would have to be written, it doesnt exist yet.