Just keep an eye on him, males sometimes will harm the babies, momma kitty is probably nervous with him around therefore wanting to move and hide them, best to keep him away if possible
This is nothing to be alarmed about. I believe this male cat is helping Mama kitty to stimulate peeing and/or pooping. I could be wrong, but still, nothing to get upset about. What exactly is worrying you?
p.s. what do you mean the female is trying to move her kittens? Move them where?