Shopping for a New Monitor?

Cecil asks: "Well, I've looked through the reviews and found several good displays. The problem is that quality can vary drastically from unit to unit. Just because the reviewer got a good screen doesn't mean you will. A lot of people say that it's a bad idea to buy a display device sight-unseen and from experience I have to agree. There are the big chain stores that will have monitors on display, but they will typically only have the 'value' models. So, what is your monitor buying process? What do you do to make sure you get the sort of high-quality display that'll last you through the next couple hardware upgrades?"