You will get better graphics performance in the higher end video card vs integrated video, however if your only editing photos and never videos etc, integrated is probably plenty especially if going with Intel CPU system that has an APU where the GPU is part of the CPU of a Core i3, i5, i7 etc. If your going with AMD system to cut costs you would want to have a graphics card vs integrated.
64-bit and 8GB RAM is just about the standard of todays new computers. Just check the stats to make sure it had 8GB or more. There are still some systems for sale with 4GB RAM which you could accidentally buy if you dont catch that its 4GB and not 8GB. Especially in lower cost computer.
Are you having to buy a IPS or CRT or do you already own this hardware?
Your budget works fine for a decent computer if not having to buy other hardware or software. A nice Intel system can be bought with $700 USD.
Are you interested in a Desktop at all or strictly only laptops? You can get more for your money in a desktop system for processing power/cost ratio.