The 4k is refresh rate and will have no impact on your still photo editing, you have Intel built in display chip,,, so it is what it is,,, no upgrades there.
Look for IPS monitor, it will give you a better "angle of view:" for the monitor... that way you can be off center a little and still see the color correctly... for photo editing sRGB is needed. See if the monitor you are looking at says it will cover the full color range. ... AdobeRGB is the best but will cost you,, $$$$$ so go for the sRGB
If it is not calibrated when you get it you will need to... to get the color correct.... Especially if you want to print from your printer and get the same colors ( this is an iffy proposition, it may take some work to get the two to look the same,,, but you need to start with correct color in the monitor .
---------- Post added 07-21-17 at 12:20 PM ----------
forgot to mention,,, a lot of monitors will not even cover the sRGB color profile... so read carefully about what they say...
IF they don't mention it, they probably don't even come close ...