First: why do you have to "lean forward" (which is not true but I'll explain later).
Imagine you take one ski of and you hold it in your hand. Tail on the floor. WHERE would you push if I would ask you to test how much it will bend? Right, not in the middle but exactly where the centerline is drawn (if it is). That is just behind your front binding. There you can with the least effort bend the ski most. Ok. Keep that in mind.
Second: why does a carve ski turn?
Lay it on the ground. Tilt it sideways like you would while carving. Now push on the same spot I told before. By bending the ski to the ground you now have a nice round line. That would be the curve you would ski. The harder you push (and tilt), the more curve you get.
So what you want is to gain as much pressure downwards (like when you did when you pushed with your hand on the ski).
To get this you have to move DOWNWARDS (not forwards). This starts at the ankel, then the knee, finally followed by the hip.
When you move downwards you're shin wil press to your tongue. Also called SHINTONG. And no, you cannot order that at a sushi bar :-)
Now you know why you will experience pressure on your shins :-)
But you WILL NOT do that by leaning over your ski's forward! Then you would have pressure on your toes and that is not the place where you would push to let the ski most easy bend.
What suggestion would I give you to achieve this?
As a (formerly) sportteacher I learned that there are two basic correction to give. Depending on the student one works best. Figur out what works best for you.
1) is a correction concentrating on the body(shape),
2) is a correction concentrating in your environment (Sorry, my english is not that great. I hope you understand what I mean).
For example; if you would stand on your hands (in a gym) and looked a bit like a pudding I would want you to make yourself tall.
The correction could be;
1) Make yourself tall. Stretch out (bodyfocussed),
2) Push your toes to the ceiling (this is the "environment" tip).
See what works best for you.
Now for skiing:
1) Stand on your WHOLE foot. Even pressure on toes and heel! Feel the ski under your foot (it might tickle).
2) Push your knees forward to your ski tip. Move also your hip forward to you ski tip.
Remember: you do not want to lean forward BUT it might feel so for ya in the beginning. Let a friend check.
Make sure to stand centered. This means (and here comes the last tip); when it get steeper, you move more forward. When it gets flatter, you correct it by going back so that you are centered again.
Let me know if this was helpfull for you.