Hi Jesseftw
This is a common theme - do a search to get a lot of mostly excellent tips / points of view.
I was working this thru with my youngster not so long back.
Get Ur board out in the lounge/garden and setup - it is easy to balance rocking from the front of the board to the back

and much harder across it. You need more of the front to back not across pull from the kite to the board - Until you get speed and body angle dialed in you are trying to balance across the board often on the balls of your feet!!
Lets assume there is enough power to just do a power stoke to get U up and on top of the board.
When You exaggerate what a standard start look like the power is mostly through the front foot which pushes the board slightly down wind - your balance is from front to back not so much across the board, then you transfer your weight more to you back foot and start edging (think push down on the heel) which makes the nose point across the wind. - At the same time the kite is moving forward in the window and the pull is still more along the board than across it. So how do U achieve this on 'L's?.... An easy way to start is to have your front leg more or less straight and your back leg almost half bent - this set the board up so the pull on you is more along then across - having your back leg bent give you the edge position. If you find yourself with straight legs crouch a little - bend at the knee. If you follow thru' on Katz point do this 5 - 8 times and each time once you are on top of the board think shoulders square, hips forward - no bending at the waist - you will get the transfer from stop to cruise .
You can find you still shoot out of the water the kite stops pulling enough and you fall back - you are catching up with the kite and it is loosing the wind - 1) do not point the board too far down wind on the power stroke 2). transfer your weight towards your back leg earlier - once you are dialed in this happens almost immediately your body comes out of the water.
It is much easier falling back ready to go again than re-cycling thru' a face plant sequence.
Have fun - Ur first run is very rewarding

Cheers
AP