That's the perfect card for that PC (R9 380X or GTX 960). You have a second generation i5 which isn't that old. It only one generation behind my friend's i7-3770 which can use a r9 390 perfectly. Go with what you selected. The best place to buy them is on Neweggs since they have huge discounts on cards. Like what everyone else said, the PowerColor PCS+ 380 is a great grab at only 185 and then if you want to do rebate, 165.
http://www.newegg.com/Product/Product.aspx?Item=N82E16814131673&cm_re=r9_380-_-14-131-673-_-Product
http://www.newegg.com/Product/Product.aspx?Item=N82E16814131673&cm_re=r9_380-_-14-131-673-_-Product