The fundamental way to shoot a lay-up on the right side is to use the right hand and jump off the left foot. One the left side, the fundamental way is to use the left hand and jump off the right foot. These are fundamental from a mechanical standpoint, as it allows you to extend your body as high as possible. In addition, they’re fundamental from a basketball standpoint; because assuming the defender is on the inside, you’re keeping your body between the defender and the ball.

But I call these two types of lay-ups "basic" lay-ups, because they're simply the foundation you need to begin to develop the type of lay-up you're going to use in real games, which I call "pro" lay-ups. So Let's take this basic basketball fundamental to another level:

Real games are NOT lay-up lines, and fundamental basketball skills like the "basic" lay-up are not enough for you to succeed in real games. Or, if you're a coach, then teaching basketball fundamentals like the basic layup is not enough. You must take things a step further to prepare your players for real games..

Real games are random, fast paced, and unpredictable! You’re cutting at odd angles, and your defender isn’t in the same position every time. And if you’re cutting to the goal, the ball is rarely passed with perfect timing for your steps to reach the goal in the right sequence for a “fundamental” lay-up, the kind of lay-up used in fundamental basketball drills and workouts.

So if the pass is a little off, what do you do? Taking an extra step would be a violation and a traveling call. Slowing down and taking an extra dribble would give the defense time to catch you, recover, and potentially block or change your shot.

Therefore, once you've mastered the "basic" lay-up, start adding these advanced lay-ups, or PRO LAY-UPS, to your basketball fundamentals training:
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On the right side, jump off and shoot with:
Left foot right hand (Basic Lay-up) 
Left foot left hand
Right foot left hand
Right foot right hand

While still on the right side, go under the goal for a reverse lay-up with these combinations:
Left foot right hand
Left foot left hand
Right foot left hand
Right foot right hand

That's eight different lay-ups, but you’re not finished. Move to the left side and go through the same combinations, for another eight combinations. When you first do this fundamental basketball drill it's not going to be easy. But with just a few hours of training, you can start to get comfortable with these more advanced lay-ups. You’ll be surprised at how quickly you can train yourself to control your body. And once you’ve mastered these lay-ups, no unorthodox situation will take you by surprise! 

And there’s still more! Since you dribbled into the above lay-ups, practice them while on the move, catching a pass and using no dribble. You can spin yourself a pass or have a friend throw it to you. Just catch, take your two steps, and go up. So that's another sixteen lay-ups for you to work on, for a total of THIRTY-TWO! You're teaching basketball fundamentals to yourself at a more advanced, more realistic level. This is the kind of stuff we teach on our basketball fundamentals videos, the Better Basketball DVDs.

By the way, we’re not going to cover two foot lay-ups in this tip. You are more than encouraged to add 2-foot lay-ups to these advanced lay-ups if you need the practice. And it would be easy for you to invent a fundamental basketball drill to work on the two-foot lay-up. But going off two feet usually means you've come under control from a half-court situation and you need to go off two feet in order to draw contact or shift your body to avoid a charge. But the advanced lay-ups in this tip are meant to be at full-speed, imitating a fast break, where all you need to do is get to the rim as efficiently as possible from the moment you pick up the dribble or catch the pass.