I would just replace the entire screen, don't try and seperate the glass layers. I've tried it before and was sorry. That glass will sliver and cut the heck out of your fingers.
If you buy a replacement screen, get a guarantee from who you buy it from, that way if UPS or whoever ships it breaks the replacement screen, you get it taken care of. I'm working on a Sony VAIO that the shipper has broken 2 screens now.
Like Kanawha said, as long as the video tutorial is for the same make and model of your laptop you should be fine. You will need small screwdrivers and take it slow. Small flat blade, small Phillips drivers, maybe a small hex driver, depends on the screws they use. You will at some point need to snap the screen's bezel apart. Laptops can at times just be a snap together affair. Other times it's just better to let a shop do it because that stupid bezel can be a total pain to get apart (like with an Apple, you need a heat gun)
I like to work on a clean desk, I put a big piece of white paper under my work, lay all the screws out, make a little diagram of what went where. Different length screws go different places (yeah, I know, that's a "Duh") Connectors and such as well. Ribbon cables can be a pain as well, just don't bend them or the contact ends. Just take your time, you should be fine as long as you have the basic skills.
In doubt? Take the laptop to a local shop. I don't deal with the "Big Corporate", I have a small local shop I have been going to for years that I trust, if I can't figure something out (or just don't want to mess with it)
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