Stags Horn seedlings?

I have a small tree which produces beautiful copper coloured leaves in autumn……. I think the common name for it is Stags Horn and it appears to self seed. Just in the past few weeks, several little seedlings / small plants have appeared around the lawn having come from this tree and I’m wondering can I take these up and re-plant them somewhere else as I’d like to put them somewhere else but I’m not sure if: a/ they can be movedI have a climbing rose (Golden showers) that has rust. Is there any thing that I can do? or is the variety prone to rustb/ when they can be moved….they are only a few inches tall at the moment c/ will they actually grow if replanted It’s going to be very difficult mowing the lawn around them so I’m hoping I can take them up soon!