The Lenovo hardware maintenance manual for the X60 Tablet series (you can get this from
http://www.lenovo.com/support) can be handy in working out exactly how to pull apart the various assemblies, and which part numbers were meant for which configurations. The parts catalogue at the back of this manual is indexed by model-type, if you want to compare the parts in your model with the parts that were in mine, the model number of my tablet was 6363-86U.
I didn't bother taking the screen and hinge out of the laptop, you can get to the LCD panel easily enough by just taking the front bezel off. There are a number of screws hidden behind the little plastic discs around the edge of the screen. (If you need some new discs they are easily available on eBay - just make sure you get the "smaller" ones, not the standard size ones like on other ThinkPads)
As well as the usual plastic clips around the edge, there is also an adhesive layer on the bottom edge of the LCD, between it and the bezel. Be careful taking the bezel off once all the screws are out, as if you try to rip it off with sheer force, you risk breaking the bezel plastics.
Removing the cable, there are two parts, the LCD cable and a little side connector for the digitiser. They are usually held onto the LCD panel with a clear and very sticky piece of plastic. Take care removing this sticky bit, the LCD cables are fragile little things, and damaging the cable could turn a 10 minute panel swap into a long and annoying "disassemble the entire machine to replace the LCD cable" saga. When putting the new panel in I simply used a long strand of electrician's tape (lengthwise) to hold things together once everything was connected again, this provided enough support to keep things in place. The connector on the LCD panel is small and relatively fragile (as with everything else in the LCD assembly!) so do take care with it and don't force anything. If in doubt, do things slowly.
You can get an SXGA+ screen/digitiser from eBay pretty readily; there's a seller in Malaysia selling them for US$250 plus shipping. (Look for "itthinker" - part# 93P5607). Unlike the generic "we sell everything" panel sellers on eBay, this guy quotes exact LCD/Lenovo model numbers and has pictures of the actual panel for sale, which is reassuring to know you're getting the right thing. I bought one of his panels as a spare for my tablet (though since I sold my tablet, it's now sitting in a cupboard unused) and it arrived in impeccable condition.