Can lighting is all you need....the ceilings look pretty low so any light fixture would need to be flush mounted so nothing to great..can lights will work perfect no need for a light fixture add in.

I would not do the drum light...cans throughout and under cab lighting.

I think cans are too expensive and overrated. I installed a lot of them in my first house renovation and disliked the downlight they cast - they're like holding a flashlight above people's heads. In our second home's renovation we only installed recessed lights in halls and main walkways; places that people pass through.

First, install undercab lights for your task light. My husband did the research and ended up with a brand called counter attack that I've been very happy with. Second, just do track lighting for your general light. A kitchen with 8' ceilings should be lit with ~ 35 lumens per square foot with ceiling fixtures.