There are many factors to consider when choosing a monitor for photo editing. Size, resolution, panel type, colour space, colour calibration and price to name a few.
If you are just a hobbyist and not looking to do it professionally you could probably get by with a 24" sRGB IPS monitor which will be under your budget. Something like a Dell U2412M which I used for a number of years would be adequate for most. Resolution is only 1920x1200 so not high res by today's standards but IPS panels are known to give more accurate colour representation when viewed off axis compared to VA panels. The U2415 is a more up to date design of the same monitor.
Larger and higher resolution screens with wider colour gamuts are available but would be at least double your budget for a half decent one. I would also recommend colour calibration with something like the x-rite i1 display pro which will create a custom profile for your monitor. This will give you confidence that you will have the most accurate colour your monitor can display and is definately recommended if you intend to print your photos.
I'm currently using a Dell Premier colour U2716D 2560x1440 Adobe RGB monitor calibrated with the i1 display pro. Colour accuracy is excellent although I have had issues with quality control. It took three attempts to buy one that wasn't damaged in some way. The first had a scratch in the middle of the screen, bad colour shift from one side to the other, and had something rattling around inside. The second had a cluster of dead pixels in one area of the screen and was sent back. I used to swear by Dell ultrasharp monitors but now I'm not so sure.
Eizo monitors are very good however they are much more expensive and are only recommended if you have deep pockets or professionally retouch and edit.