Remove the base plate by lifting a corner or using an iFixIt suction cup to make the process easier.

Take a picture so you remember where all the pretty colored screws from inside the case go. (Note the Google logo colors spectrum of screws.)

Unplug the battery connection so that you don't accidentally short something and fry up your expensive laptop that has almost zero replaceable parts.

Unplug the cables connecting the screen to the motherboard, there is one for the video, one for the touchscreen, and a couple tiny connectors for the wireless. See second image for locations.

Remove the green screws that hold the hinge of the lid into the case. There are a number of them, and there is one on each side with a grounding/cable management clip around it, the screw isn't different than the others, but don't lose the clip. See second image for locations.

Swap out the screen for your replacement likely obtained on eBay and carefully replug the video and touch and wireless cables back into their connectors.

If you are very careful you can test your new screen and it's touch capability without screwing it back into the case, if you aren't foolhardy, you will put a couple screws in so that you can turn over the laptop without having the screen yank the cables off the motherboard.