Modern games will not run well on integrated graphics. You will need to add a graphics card to your system, which may also require a PSU upgrade. Please provide your complete specifications, including the brand and model (not just wattage) of your PSU.
A "good" answer, though it may not be the best, is that your system should be able to support a GTX750Ti, which does not need an auxiliary PCIe power connection. In descending order of power (and price), one of these should work:
GTX750Ti > GTX750 > HD7750 > R7 250.
Edit: ...and yes, you'll want more RAM, at least 4GB total.