Not too tough I hope. I've never done computer repairs before.
for most laptops you need to remove the keyboard(99/100 this is the HARDEST thing to put back in, not likely to damage it but the ribbon cable is generally very short. grr) remove the surrounding plastic cover over the screen braces etc, now depending on how its put together you will either have easy access to the wires going to the monitor...or not. generally not. if not then take the laptop apart the rest of the way. remove the hd panel/hd/cddrive/battery etc. take all screws out of the base and take the top part off. you will generally still have several wires connected to this (for the touch pad, and possibly speakers). Undo those. now you should have access to the wires going to the mobo/monitor undo those and take the screws out that hold the screen to the case/hinge.
now that the monitor portion is free of the case you need to remove any other screws, generally these will be placed under protective covers/"bumpers" make sure to set thsoe aside safely. taking them off with a small flat headed screwdriver is your best bet for not hurting them/being able to easily reattach them. take out all screws and CAREFULLY locate the tabs holding the front and backing plastic piece together with a small flat bladed screwdriver, pop the tabs till the front portion comes completely off. now you should be able to easily remove the monitor the rest of the way/see its part numbers(if you cant find them online).
Note: in some cases the monitors wires inside the plastic can be soldered to a board, if the monitor is not coming with that board you will need to resolder the new monitors wires to the board, so a soldering kit may be necessary.
