Buds on newly-rooted(?) cuttings

Hello folks. Back on Christmas Eve, I took eight cuttings from a Mulberry to try to root. As of yesterday, all eight seem to be budding nicely, which I take to be a good indication of root formation. I'm too nervous to try them to see if they've actually developed roots yet-- this is my first time around to root fruit tree cuttings, and I am a novice of novices.

My question is this: should I do something with the lowest buds, or even those that are higher up? Or should I be limiting growth to just the top buds since I want the cuttings to focus on root growth?

That's a tricky one. Keep in mind leaves produce sugar, for this they need water. Which the cutting hardly can provide because root growth is limited if it has started at all. Keep them shaded to limit the exposure to light. They need some light, but not much. North side of a house works good. Slowly they form roots. If they show signs of watershortage: shrivelled leaves or stunted growth i'd take off the bottom ones.
They look fine now, as they usually do. They're still full of old energy and water. After a month or two into spring if i notice real growth and no sign of watershortage, i move them out of full shade into half shade, i let them get used to dryer circumstances as well, that will force root growth. No constant watering, that will spoil them at that stage.
Keep in mind at all stages it's a fine balacing act between roots and leaves. The more leaves and sun the more water will evaporate through them.

propagate from cuttings

good luck

Merci, Hugo. I should have known I was premature in my confidence of their rooting. I'll be patient and watch how those leaves and flowers come out, and take care of them if the cuttings show signs of distress.