There are many monitors that are appropriate for photo editing, however it also depends on how much money you want to spend. Generally speaking, monitors appropriate for photo editing should be capable of having good color accuracy when properly calibrated. This is important if it is work related where color accuracy is very important.
For personal or hobbist photo editing, color accuracy is important as you want it to be. If color accuracy is not that important then you can basically use any type of monitor.
A colorimeter will help improve color accuracy. Generally speaking, the more expensive model you buy the better the color accuracy can be. The same can be said of the monitor.
What is the current monitor you are using? What is your budget for a new monitor and colorimeter?