The best LCD monitors for accurate color rendition are currently made using IPS or PLS technology. This is well illustrated by this demonstration. X-bit's Guide does an excellent job of explaining the differences between monitor technologies. For a quick summary choose the Conclusion link at their web site. Unfortunately most manufacturers don't mention whether or not they are IPS in their literature. To determine the technology used in your particular monitor visit flatpanelshd and enter the type of monitor. For example, enter "Dell" and all Dell monitors are listed, or "IPS" for all IPS monitors. For further information and reviews visit Prad (German) or TFT Central.
A higher pixel density will yield detailed images and more text on a given screen size. However, small text can present a problem if your vision is not 20/20. For personal use I prefer monitors with a pixel density less than 100. I suggest you visit a local computer store and view the New York Times on several monitors to see what works best for you.
Some monitors use Pulse Width Modulation (PWM) to control the duty cycle for backlight brightness. If the frequency is too low this can result in screen flicker as brightness is lowered. Some people are more sensitive to this effect than others. A list of flicker-free monitors that don't use PWM is on TFT Central.
For Windows use ClearType to adjust the clarity of text. On Windows XP visit this site. For Windows 7 and later run command "cleartype". Choose selections that minimize color fringing and offer good contrast.