I bought an old home and put two large 14 in. round fluorescent lights up, thinking it would supply plenty of light. There's also a recessed light over the sink. It's still dark in there. I've been advised to check out Lithonia lighting and get LED lights to replace. Please tell me what you think would be best. I was told that the fixtures in the big box stores were not as good.
14in light is a useless figure. What you're looking for is lumens. ("Replaces a X watt incandescent" is also useful, though affected by marketing a bit.) Get a target lumen value, then get a lighting setup that meets this value. LEDs vs fluorescents doesn't matter for getting enough light, just for power-saving purposes.
Before you replaced the lights, was it bright enough? If so, calculate how much lighting there was back then, and try to hit that same amount.