Can I move several apps at once?

Short answer: Yes — click Move on each app you want; the moves queue up and run one after another, with a progress card and a reason for any that can't move.

You can start moves one after another without waiting — each is queued and runs on its own, showing Waiting until its turn. There's no need to babysit them.

A progress card shows how many have finished, and if any couldn't be moved it says so with the reason. You can keep using your Mac throughout.