Temporarily moving some plants

We have a burst water main in our front garden and they are coming to fix it on Monday. I know they are going to have to dig up a fair bit of the (small) garden, and there are a couple of plants I want to save (some I planned to get rid of anyway so am fine about losing them). One is an established tree peony, the other a recently planted brunnera. I will try to lift them on Sunday, what is the best way of storing them? There isn't anywhere else I can plant the tree peony (the brunnera could be relocated to the back garden as it's small), will it survive in a large bucket for 24 to 48 hours? I can keep it sheltered and shady in the side return. Should the bucket be full of water? Any advice appreciated!