To complete the replacement of the LCD is actually a fairly straightforward process and requires very little in the way of tools and parts.
You will need:
A #0 (tiniest) Philips head screwdriver
A prying tool (small flathead screwdriver)
Replacement LCD screen for an LG Rumor.
All I needed was a jeweller's/precision screwdriver set and the replacement LCD. Replacement LCDs can be purchased online at electronics components retailers or on auction site such as eBay. It would probably also reasonable to buy a broken Rumor with an intact LCD second-hand and pirate it for the part. This can be done on classified ads websites such as Kijiji and Craigslist.