I will be presenting goalie rules in two forms.  First, the rules that I want a young (or older) goalie to follow.  These are the game behaviors you need to play by to be a successful goalie.  The second set of rules are the official USAH Rules and Regulations that apply to goalies, you should know these because they dictate what you can and cannot do as a goalie on the ice and will help you argue your point in case of a disagreement.  You should know the rules.

Goalie Rules (game behaviors)

These are the goalie rules your goalie should memorize first, they are the rules that a successful goalie lives by.

0. Never Give Up.  Until the puck is in the net and the referee has blown the whistle and indicated that a goal has happened, your goalie should never stop trying to keep that puck out of the net.
0. Keep Your Eye On The Puck.  Throughout the entire game, the goalie must keep their eye on where the puck is at all times, especially when it's in your zone.  This means you may need to move left or right to see around the players in front of you, without wandering too far from the net.
0. Keep Your Stick On The Ice.  One of the harder rules to consistently follow.  A goalie needs to keep the blade of their stick (the fat part at the bottom of the stick) on the ice at all times, especially when moving forward, backwards and lateraly (side to side).  Besides providing balance assistance, having your blade on the ice will help deflect low shots you see and redirected pucks you didn't expect.
0. Never Face The Net . A goalie should never find themselves directly facing the net with their back to the opposing goalie's net.  No matter how tempting it is to turn and face the back wall when the puck goes into the corner or behind the net, it is a bad and possibly dangerous thing to do.  If the puck suddenly comes from behind the net to in front of the net and your back is turned, you not only risk a goal because you can't see it, you risk having the puck lifted into the small of your back where you have the least padding.  Always face foward and only turn your head to look behind you when the puck travels in back.  This is also known as Never Turn Your Back on the Puck.
0. Play "What If?".  When the action is going on in your zone, you need to constantly ask yourself, "What if the player shoots at me right now? and What if the player passed the puck right now, who would they pass to and could they shoot on me?".  Great goalies are able to anticipate a skaters move, whether a shot or a pass, I believe you can improve your ability to anticipate by playing the 'What If" game constantly on the ice.
0. Don't Turn Your Stick In Front Of The Net.  The natural position for the blade is in your hand on the ice, curve of the blade going outward.  When a puck comes in front of a goalie to the outside of the stick hand, there is a natural inclination to turn the paddle/blade to stop the puck with the back of the paddle.   For younger goalies who don't have the wrist strength and motor skills to consistently successfully stop a puck with the back of the paddle (PeeWee and under) I strongly recommend avoiding this move as you are more likely to knock the puck in the net accidently.  You can use the back of the paddle when the puck is far away from the net.
0. Have A Backup Way To Stop The Puck.  A goalie should always try to have a backup, or second way, to stop the puck in case the first way fails.  Use the list below to learn the preferred order to stop the puck, and then think about how you can use the lower items to provide backup.  For example, if you are down in the butterfly trying to stop the puck with your stick blade, try to have the leg pad behind it.  If you are reaching for the puck with your glove, can you get your chest protector or helmet behind it? And so on
   0. Stick (because it can be the farthest out)
   0. Glove
   0. Leg Pad
   0. Blocker
   0. Chest Protector
   0. Pants
   0. Helmet
   0. Skate
   0. Back of your legs
0. Cover the Puck.  Referees will blow the whistle and stop play when they lose site of the puck.  This usually occurs when the goalie covers the puck with their glove or pads.   As long as the ref sees the puck, the skaters may still hack at you with their sticks, so try to cover the puck with your glove, pad, stick, chest or even drop your stick and pick up the puck with your blocker glove.  Also, if you are going to push the puck back out into play, try to get to one side of the net and push it to the side of the net.
0. Resist Flopping (aka Don't Flop).  Try to avoid reaching out for the puck on your stomach.  It's tempting, but more often than not you will simply take yourself out of the way of the net and get scored on.  Better to learn good sliding and pad-walking techniques.  I know this one is hard, but if you can reduce your flops 50% you'll save 4-5 goals per season.
0. Get Back In The Game Immediately.  As soon as you make the save, find the puck and get back into position and get ready for the next shot.  Delays will cost you goals.