How do I safely transplant a small plant?

I NEED to move some coleus for to a new pot for science fair but they're very small and i don't want to kill them. The largest of them (almost 100 plants) is only an inch tall and many are only about 1 cm tall. Ive been trying to wait until they get bigger but they haven't and time is up i need to start experimenting. just to get the point across they are VERY fragile i cant even pour water around them without them being uprooted I have to spray a mist over them with a spray bottle to water them and ive still hurt some with that.