Easy moving few items at time from Inventory to Storage

Hello.
Im a trash collector. I pickup items from floor, usualy when playing with my friends, just to check them later if they can improve my gear.
Im marking them as trash or just favourite items, usually after doing some Hordes i have a lot of them.
The thing is, moving them into the Storage is kinda annoying, because you have to move one item at the time. So there’s my question.

Can we get some kind of mechanic that allows us to move group of items, marked by players ( example : trash, favourite, maybe even not grouped at all ) to move items from Inventory to Stash and from Stash to Inventory? I noticed selling junk items works with vendors when they are marked by player.

It could be added as new shortcut, for example Shift + Right Click.

Thanks for reading.
Forazavix