The kitchen had a weird ugly greasy homemade fluorescent, wired to one light box off center. The simplest way to get a lot of light in the kitchen in a flexible way is track lighting. Track lighting is a modular system, meaning each piece has a function, as opposed to an "integrated" light fixture where the parts of the light can't be changed or separated.
Because track lighting is modular, you can make the track as long as you want, with as many lights on it as you need. The lights are in a clip on bulb base called a head.
After putting in the heads, you position them. "Task lighting" is when you have a light pointing at something as opposed to general purpose lighting.
Now we have light where we need it - and it's a lot easier than cutting in recessed cans and pulling wires for the.