When drawimg multiple cards do I reveal each card as I draw them. I do I draw all my cards and then continue playing with my next card faceup? E.g. I draw 3 cards at the start of my turn. Do I reveal all 3 as I draw or draw all 3 and then reveal the fourth?

No, you reveal only the top one. You draw 3 including the revealed one, but you don't show the other two (basically you don't draw cards one by one). After you reveal the new top deck one.