See whether the center is indicating what he plans to do with the puck. Watch how he positions his lower hand on the stick. Try not to give away what you intend to do with the puck. Keep a wide stance for good balance. Place your lower hand down on your stick for strength and leverage but not so low that you lose mobility and put your hand in harm's way.
Most linesmen allow a little cheating.
They will let you know when you need to square up more. Focus on the linesman's hand. His hand will flinch just as he is about to drop the puck. If you miss winning the draw cleanly, or have established with your winger that he is coming into the circle after the drop, tie up the opposing center. If you are going to tie up the opposing center, or execute any other set play, make sure you have communicated with your line mates before you step up to the faceoff dot.