Some good points made above, especially re when to move and paying attention to covering your moving parts (hands, face).
One 'part' not yet mentioned is your bow quiver fletching (if you use one). Fletch on bow quivers bounces alot, and can be a problem even when you 'think' you are moving your bow carefully. It can be a dead give-away when getting ready to shoot. Fletch covers are cheap/easy to make and are good insurance against getting busted by a 'fletching flag'.
Leaves near your feet in a ground blind are your enemy if shifting position to shoot (crunch crunch). Rubber boots on metal tree stands don't do well together (squeak squeak). Neither do dirty arrow shafts drawn back on dirty arrow rests (squeak scratch). Make sure that your hunting coat is SILENT when you draw your bow or shift stand position (krinkle sssst). Shoot in the same position that you practice. I.e., if you don't practice much sitting down then don't shoot sitting down. Same for standing up.
Details, details. As if you don't have enough problems when a deer is standing close enough for you to count it's eyelashes and your knees feel like jumping beans, lol.