Boxing

So after second shark tank coach says I need to work on my hands and distancing in particular. He says I'm planted when throwing punches and as a result my opponent moves out of the way easily. Any tips on moving with punches? I think I hesitate on a subconscious level bc I know if I move and end up moving into an opponents punch it makes the impact that much harder so I don't move as much with my boxing. He says I have no problem with my kicks though...I don't know why I don't trust my defense when adding movement into the picture it's held up so far.