I have a hidden outlet in a cabinet above the microwave so perhaps that may help...I battery jobbies now and am looking to upgrade...The problem with under cabinet lighting is power...do you want battery operated? Lots of options...some decent, others, not so much. Do you want 110v wall powered? Lots of great options...if you have an outlet conveniently placed...and you don't mind seeing the cords. (You could, of course, have an outlet installed inside the cabinets under which you want the lighting...but that has its own set of headaches.
yes...looks interesting!!Should be plenty of led options no?
Example, not recommendation
The reality is that there is ne reason to use anything but LED strip lights. You can run the wiring from the transformer through cabinets, under base board, behind trim, pretty much anywhere. I often used a remote controlled transformer rather than a switched outlet.the light tape is good. I like it in a track with a diffuser.
we did the Ikea version in a kitchen and it was great. routed the wire into the microwave space and put the transformer in there with a little hole under the cabinet for the switch.