If you haven't seen it already, there is a great writeup on installing your Lilliput in a TM-701L housing here:
Writeup Lilliput installation in TM-701L housing
This is a description of what I did beyond that.
First off I did the indash conversion like everyone else, and the coyote auto-on mod.
Then I replaced all of the cables from the LCD through the housing with one ribbon cable, and added a nice little quick connect in the LCD housing for when I have to take it apart.
Ribbon Cable Outside Housing
Ribbon Cable Inside Housing
Close up of ribbon cable quick connect female side inside housing
Close up of ribbon cable quick connect male side inside housing
Ribbon cable coming out of the back of the LCD
After all that ribbon cable stuff, I added a rocker switch to make it so the LCD only gets power when it is pulled out of the housing.
The rocker switch from radio shack
Close up of switch installed at the back of the housing
Switch at the back of the housing with the LCD moved forward, connecting the power
Thats about it. Hopefully the pictures are worth 8000 words...