Sorry to be late with this post. Woodies (and I'm sure other DIY outlets) sell those mini-shaver-light type strip lamps that link together up to a maximum of 4 or 6 slave units from each mains-powered unit. The mains-powered unit plugs into any 3-pin 13-amp socket and the subsequent lights are daisy-chained to the preceding lamp in the chain.
I have installed these to provide (IMHO) nice atmospheric lighting over the kitchen cupboards and light onto the worktops by (obviously) installing them behind the pelmets on top of AND underneath the cupboards. Looks good.
In order to calculate how many lights you need a handy rule of thumb that worked well for me is to measure the distance from the base of the cupboard (not the pelmet) to the counter top and divide this number into the total distance to be lit, i.e. the length of the counter top excluding hobs, cookers, etc.
For top lighting of cupboards, measure the distance from the top of the cupboard to the ceiling and divide this into the total distance to be lit. In my case, I included the extractor-fan casing in my calculations in order to provide even light coverage on the ceiling and wall.
Total cost was expensive at about 275 euro for materials only, but it was a DIY job taking me about a day in total, and I am very pleased with the result. I didn't need to drill through cabinet carcasses as the cheap-skates who built the kitchen had left handy hidden gaps between individual cupboards and I had already asked the electrician to install twin switched sockets for the extractor and for the fridge both of which were readily accessible to me, so running wires and cables was not an issue. There is a degree of drilling and screwing to secure the lights and wiring to the cupboards and with a bad back the under cupboard lights were a challenge!
A word of warning - be very careful about the siting of electric kettles and microwave ovens if you have under cupboard wiring as the former will cause condensation / water-vapour and the latter may corrode the insulation of electrical wiring.
The name of the product is Linkup lighting, if I remember correctly, and Woodies staff were very good about two defective units I got (or maybe I broke them), but they were replaced on the spot.
Each of the light units is individually switched and readily accessible for the countertop lights, but the overhead lights in my case are either all on or all off as I just couldn't be bothered climbing to switch them individually, which may be a drawback for some people.
I have no connection (get it, electric lights, connection) with the vendors or manufacturers of these products.
Best of luck with your project.